152232355414656 has 1024 divisors, whose sum is σ = 502581716582400. Its totient is φ = 44978096517120.

The previous prime is 152232355414651. The next prime is 152232355414681. The reversal of 152232355414656 is 656414553232251.

It is a happy number.

152232355414656 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 3 + 2 + 3 + 5 + 541 + 46 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (152232355414651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124474533661 + ... + 124474534883.

It is an arithmetic number, because the mean of its divisors is an integer number (490802457600).

Almost surely, 2^{152232355414656} is an apocalyptic number.

152232355414656 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 152232355414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251290858291200).

152232355414656 is an abundant number, since it is smaller than the sum of its proper divisors (350349361167744).

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

152232355414656 is a wasteful number, since it uses less digits than its factorization.

152232355414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1808 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 152232355414656 in words is "one hundred fifty-two trillion, two hundred thirty-two billion, three hundred fifty-five million, four hundred fourteen thousand, six hundred fifty-six".