164361200020632 has 64 divisors (see below), whose sum is σ = 456715407285600. Its totient is φ = 54768284472960.

The previous prime is 164361200020627. The next prime is 164361200020733. The reversal of 164361200020632 is 236020002163461.

164361200020632 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 6 + 12 + 0 + 0 + 0 + 2 + 0 + 632 = 666.

It is a super-3 number, since 3×164361200020632³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129800419 + ... + 131060562.

Almost surely, 2^{164361200020632} is an apocalyptic number.

164361200020632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164361200020632 is an abundant number, since it is smaller than the sum of its proper divisors (292354207264968).

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

164361200020632 is a wasteful number, since it uses less digits than its factorization.

164361200020632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260863913 (or 260863903 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 164361200020632 in words is "one hundred sixty-four trillion, three hundred sixty-one billion, two hundred million, twenty thousand, six hundred thirty-two".