103449852794880 has 960 divisors, whose sum is σ = 375700735650240. Its totient is φ = 27224211456000.

The previous prime is 103449852794833. The next prime is 103449852794881. The reversal of 103449852794880 is 88497258944301.

It is a happy number.

103449852794880 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 9 + 8 + 527 + 94 + 8 + 8 + 0 = 666.

103449852794880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 103449852794799 and 103449852794808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103449852794881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19663531450 + ... + 19663536710.

It is an arithmetic number, because the mean of its divisors is an integer number (391354932969).

Almost surely, 2^{103449852794880} is an apocalyptic number.

103449852794880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103449852794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187850367825120).

103449852794880 is an abundant number, since it is smaller than the sum of its proper divisors (272250882855360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103449852794880 is a wasteful number, since it uses less digits than its factorization.

103449852794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 103449852794880 in words is "one hundred three trillion, four hundred forty-nine billion, eight hundred fifty-two million, seven hundred ninety-four thousand, eight hundred eighty".