165077503164 has 108 divisors (see below), whose sum is σ = 485539674984. Its totient is φ = 47152058688.

The previous prime is 165077503159. The next prime is 165077503169. The reversal of 165077503164 is 461305770561.

165077503164 is a `hidden beast` number, since 1 + 6 + 507 + 7 + 50 + 31 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (165077503159) and next prime (165077503169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165077503169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7745667 + ... + 7766949.

Almost surely, 2^165077503164 is an apocalyptic number.

165077503164 is a gapful number since it is divisible by the number (14) 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 165077503164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242769837492).

165077503164 is an abundant number, since it is smaller than the sum of its proper divisors (320462171820).

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

165077503164 is a wasteful number, since it uses less digits than its factorization.

165077503164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25704 (or 25692 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 165077503164 in words is "one hundred sixty-five billion, seventy-seven million, five hundred three thousand, one hundred sixty-four".