10049302948608 has 1152 divisors, whose sum is σ = 37486632960000. Its totient is φ = 2579711016960.

The previous prime is 10049302948603. The next prime is 10049302948669. The reversal of 10049302948608 is 80684920394001.

10049302948608 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 3 + 0 + 29 + 4 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10049302948603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25313105466 + ... + 25313105862.

It is an arithmetic number, because the mean of its divisors is an integer number (32540480000).

Almost surely, 2^{10049302948608} is an apocalyptic number.

10049302948608 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 10049302948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743316480000).

10049302948608 is an abundant number, since it is smaller than the sum of its proper divisors (27437330011392).

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

10049302948608 is a wasteful number, since it uses less digits than its factorization.

10049302948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10049302948608 in words is "ten trillion, forty-nine billion, three hundred two million, nine hundred forty-eight thousand, six hundred eight".