464626162312032 has 192 divisors, whose sum is σ = 1406250051333120. Its totient is φ = 131572148649984.

The previous prime is 464626162312019. The next prime is 464626162312043. The reversal of 464626162312032 is 230213261626464.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5115686973 + ... + 5115777795.

It is an arithmetic number, because the mean of its divisors is an integer number (7324219017360).

Almost surely, 2^{464626162312032} is an apocalyptic number.

464626162312032 is a gapful number since it is divisible by the number (42) 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 464626162312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703125025666560).

464626162312032 is an abundant number, since it is smaller than the sum of its proper divisors (941623889021088).

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

464626162312032 is a wasteful number, since it uses less digits than its factorization.

464626162312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158325 (or 158317 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 464626162312032 in words is "four hundred sixty-four trillion, six hundred twenty-six billion, one hundred sixty-two million, three hundred twelve thousand, thirty-two".