30456869352 has 256 divisors, whose sum is σ = 96729292800. Its totient is φ = 7777105920.

The previous prime is 30456869351. The next prime is 30456869357. The reversal of 30456869352 is 25396865403.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30456869295 and 30456869304.

It is not an unprimeable number, because it can be changed into a prime (30456869351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12445393 + ... + 12447839.

It is an arithmetic number, because the mean of its divisors is an integer number (377848800).

Almost surely, 2^30456869352 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 30456869352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48364646400).

30456869352 is an abundant number, since it is smaller than the sum of its proper divisors (66272423448).

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

30456869352 is a wasteful number, since it uses less digits than its factorization.

30456869352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 30456869352 in words is "thirty billion, four hundred fifty-six million, eight hundred sixty-nine thousand, three hundred fifty-two".