153914656896 has 512 divisors, whose sum is σ = 609931929600. Its totient is φ = 36901785600.

The previous prime is 153914656879. The next prime is 153914656919. The reversal of 153914656896 is 698656419351.

153914656896 is a `hidden beast` number, since 1 + 5 + 3 + 91 + 465 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3437211 + ... + 3481701.

It is an arithmetic number, because the mean of its divisors is an integer number (1191273300).

Almost surely, 2^153914656896 is an apocalyptic number.

153914656896 is a gapful number since it is divisible by the number (16) 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 153914656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304965964800).

153914656896 is an abundant number, since it is smaller than the sum of its proper divisors (456017272704).

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

153914656896 is a wasteful number, since it uses less digits than its factorization.

153914656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44545 (or 44527 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 153914656896 in words is "one hundred fifty-three billion, nine hundred fourteen million, six hundred fifty-six thousand, eight hundred ninety-six".