165106516221432 has 192 divisors, whose sum is σ = 459313060377600. Its totient is φ = 53554066272000.

The previous prime is 165106516221421. The next prime is 165106516221481. The reversal of 165106516221432 is 234122615601561.

165106516221432 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 0 + 6 + 5 + 1 + 622 + 14 + 3 + 2 = 666.

It is a super-2 number, since 2×165106516221432² (a number of 29 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, 972554557 + ... + 972724307.

It is an arithmetic number, because the mean of its divisors is an integer number (2392255522800).

Almost surely, 2^{165106516221432} is an apocalyptic number.

165106516221432 is a gapful number since it is divisible by the number (12) 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 165106516221432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229656530188800).

165106516221432 is an abundant number, since it is smaller than the sum of its proper divisors (294206544156168).

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

165106516221432 is a wasteful number, since it uses less digits than its factorization.

165106516221432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171466 (or 171459 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 165106516221432 in words is "one hundred sixty-five trillion, one hundred six billion, five hundred sixteen million, two hundred twenty-one thousand, four hundred thirty-two".