104945641897248 has 336 divisors, whose sum is σ = 322209933357312. Its totient is φ = 33594979392000.

The previous prime is 104945641897193. The next prime is 104945641897249. The reversal of 104945641897248 is 842798146549401.

104945641897248 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 4 + 564 + 18 + 9 + 7 + 2 + 48 = 666.

It is a super-2 number, since 2×104945641897248² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104945641897249) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 94181118 + ... + 95288898.

It is an arithmetic number, because the mean of its divisors is an integer number (958958134992).

Almost surely, 2^{104945641897248} is an apocalyptic number.

104945641897248 is a gapful number since it is divisible by the number (18) 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 104945641897248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161104966678656).

104945641897248 is an abundant number, since it is smaller than the sum of its proper divisors (217264291460064).

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

104945641897248 is a wasteful number, since it uses less digits than its factorization.

104945641897248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107971 (or 1107948 counting only the distinct ones).

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

The spelling of 104945641897248 in words is "one hundred four trillion, nine hundred forty-five billion, six hundred forty-one million, eight hundred ninety-seven thousand, two hundred forty-eight".