230052151296 has 840 divisors, whose sum is σ = 804533131584. Its totient is φ = 64975011840.

The previous prime is 230052151291. The next prime is 230052151319. The reversal of 230052151296 is 692151250032.

It is a happy number.

230052151296 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 52 + 1 + 512 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230052151296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230052151291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2233515981 + ... + 2233516083.

Almost surely, 2^230052151296 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 230052151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402266565792).

230052151296 is an abundant number, since it is smaller than the sum of its proper divisors (574480980288).

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

230052151296 is an equidigital number, since it uses as much as digits as its factorization.

230052151296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 230052151296 in words is "two hundred thirty billion, fifty-two million, one hundred fifty-one thousand, two hundred ninety-six".