252045166464 has 384 divisors, whose sum is σ = 894783314880. Its totient is φ = 66315386880.

The previous prime is 252045166433. The next prime is 252045166547. The reversal of 252045166464 is 464661540252.

252045166464 is a `hidden beast` number, since 2 + 5 + 20 + 4 + 5 + 166 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47905594 + ... + 47910854.

Almost surely, 2^252045166464 is an apocalyptic number.

252045166464 is a gapful number since it is divisible by the number (24) 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 252045166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447391657440).

252045166464 is an abundant number, since it is smaller than the sum of its proper divisors (642738148416).

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

252045166464 is a wasteful number, since it uses less digits than its factorization.

252045166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 252045166464 in words is "two hundred fifty-two billion, forty-five million, one hundred sixty-six thousand, four hundred sixty-four".