165914211952512 has 192 divisors, whose sum is σ = 495131968531200. Its totient is φ = 55303201764864.

The previous prime is 165914211952487. The next prime is 165914211952547. The reversal of 165914211952512 is 215259112419561.

165914211952512 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 1 + 4 + 2 + 119 + 5 + 2 + 512 = 666.

165914211952512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×165914211952512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1922775033 + ... + 1922861319.

It is an arithmetic number, because the mean of its divisors is an integer number (2578812336100).

Almost surely, 2^{165914211952512} is an apocalyptic number.

165914211952512 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 165914211952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247565984265600).

165914211952512 is an abundant number, since it is smaller than the sum of its proper divisors (329217756578688).

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

165914211952512 is an frugal number, since it uses more digits than its factorization.

165914211952512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148135 (or 148111 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 54.

The spelling of 165914211952512 in words is "one hundred sixty-five trillion, nine hundred fourteen billion, two hundred eleven million, nine hundred fifty-two thousand, five hundred twelve".