30153529468656 has 160 divisors (see below), whose sum is σ = 99974269094400. Its totient is φ = 8599937080320.

The previous prime is 30153529468651. The next prime is 30153529468669. The reversal of 30153529468656 is 65686492535103.

It is a happy number.

30153529468656 is a `hidden beast` number, since 3 + 0 + 1 + 5 + 3 + 529 + 46 + 8 + 65 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30153529468593 and 30153529468602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30153529468651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186549796 + ... + 186711363.

It is an arithmetic number, because the mean of its divisors is an integer number (624839181840).

Almost surely, 2^{30153529468656} is an apocalyptic number.

30153529468656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30153529468656 is an abundant number, since it is smaller than the sum of its proper divisors (69820739625744).

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

30153529468656 is a wasteful number, since it uses less digits than its factorization.

30153529468656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373261204 (or 373261192 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 30153529468656 in words is "thirty trillion, one hundred fifty-three billion, five hundred twenty-nine million, four hundred sixty-eight thousand, six hundred fifty-six".