152464446463056 has 640 divisors, whose sum is σ = 523262509056000. Its totient is φ = 37115042365440.

The previous prime is 152464446462959. The next prime is 152464446463099. The reversal of 152464446463056 is 650364644464251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 873980161 + ... + 874154591.

It is an arithmetic number, because the mean of its divisors is an integer number (817597670400).

Almost surely, 2^{152464446463056} is an apocalyptic number.

152464446463056 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 152464446463056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261631254528000).

152464446463056 is an abundant number, since it is smaller than the sum of its proper divisors (370798062592944).

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

152464446463056 is a wasteful number, since it uses less digits than its factorization.

152464446463056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174707 (or 174701 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 60.

The spelling of 152464446463056 in words is "one hundred fifty-two trillion, four hundred sixty-four billion, four hundred forty-six million, four hundred sixty-three thousand, fifty-six".