464455551646032 has 320 divisors, whose sum is σ = 1307157593702400. Its totient is φ = 141674215034880.

The previous prime is 464455551646027. The next prime is 464455551646033. The reversal of 464455551646032 is 230646155554464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464455551646033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22914566394 + ... + 22914586662.

It is an arithmetic number, because the mean of its divisors is an integer number (4084867480320).

Almost surely, 2^{464455551646032} 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 464455551646032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653578796851200).

464455551646032 is an abundant number, since it is smaller than the sum of its proper divisors (842702042056368).

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

464455551646032 is a wasteful number, since it uses less digits than its factorization.

464455551646032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27946 (or 27940 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 60.

The spelling of 464455551646032 in words is "four hundred sixty-four trillion, four hundred fifty-five billion, five hundred fifty-one million, six hundred forty-six thousand, thirty-two".