162500429664 has 288 divisors, whose sum is σ = 496652083200. Its totient is φ = 52211174400.

The previous prime is 162500429657. The next prime is 162500429683. The reversal of 162500429664 is 466924005261.

162500429664 is a `hidden beast` number, since 1 + 62 + 500 + 4 + 29 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×162500429664² (a number of 23 digits) contains 22 as substring.

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, 67735537 + ... + 67737935.

It is an arithmetic number, because the mean of its divisors is an integer number (1724486400).

Almost surely, 2^162500429664 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 162500429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248326041600).

162500429664 is an abundant number, since it is smaller than the sum of its proper divisors (334151653536).

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

162500429664 is a wasteful number, since it uses less digits than its factorization.

162500429664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 162500429664 in words is "one hundred sixty-two billion, five hundred million, four hundred twenty-nine thousand, six hundred sixty-four".