463145317072704 has 224 divisors, whose sum is σ = 1637968679961600. Its totient is φ = 125362642152960.

The previous prime is 463145317072667. The next prime is 463145317072717. The reversal of 463145317072704 is 407270713541364.

It is a happy number.

463145317072704 is a `hidden beast` number, since 4 + 6 + 3 + 14 + 531 + 70 + 7 + 27 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 1007378862 + ... + 1007838509.

It is an arithmetic number, because the mean of its divisors is an integer number (7312360178400).

Almost surely, 2^{463145317072704} is an apocalyptic number.

It is an amenable number.

463145317072704 is an abundant number, since it is smaller than the sum of its proper divisors (1174823362888896).

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

463145317072704 is a wasteful number, since it uses less digits than its factorization.

463145317072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015217418 (or 2015217402 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 463145317072704 in words is "four hundred sixty-three trillion, one hundred forty-five billion, three hundred seventeen million, seventy-two thousand, seven hundred four".