6153347056896 has 432 divisors, whose sum is σ = 19849843925184. Its totient is φ = 1889912881152.

The previous prime is 6153347056891. The next prime is 6153347056973. The reversal of 6153347056896 is 6986507433516.

6153347056896 is a `hidden beast` number, since 6 + 1 + 5 + 33 + 470 + 56 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6153347056896² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6153347056891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466615615 + ... + 466628801.

Almost surely, 2^{6153347056896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6153347056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924921962592).

6153347056896 is an abundant number, since it is smaller than the sum of its proper divisors (13696496868288).

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

6153347056896 is a wasteful number, since it uses less digits than its factorization.

6153347056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 6153347056896 in words is "six trillion, one hundred fifty-three billion, three hundred forty-seven million, fifty-six thousand, eight hundred ninety-six".