152941630464 has 352 divisors, whose sum is σ = 518833602560. Its totient is φ = 43597357056.

The previous prime is 152941630451. The next prime is 152941630487. The reversal of 152941630464 is 464036149251.

152941630464 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 4 + 1 + 630 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×152941630464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140700129 + ... + 140701215.

Almost surely, 2^152941630464 is an apocalyptic number.

152941630464 is a gapful number since it is divisible by the number (14) 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 152941630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259416801280).

152941630464 is an abundant number, since it is smaller than the sum of its proper divisors (365891972096).

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

152941630464 is a wasteful number, since it uses less digits than its factorization.

152941630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 152941630464 in words is "one hundred fifty-two billion, nine hundred forty-one million, six hundred thirty thousand, four hundred sixty-four".