165412707264 has 252 divisors, whose sum is σ = 556698616344. Its totient is φ = 46818229248.

The previous prime is 165412707247. The next prime is 165412707283. The reversal of 165412707264 is 462707214561.

165412707264 is a `hidden beast` number, since 16 + 541 + 2 + 70 + 7 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×165412707264² (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 35 ways as a sum of consecutive naturals, for example, 2992582 + ... + 3047354.

Almost surely, 2^165412707264 is an apocalyptic number.

165412707264 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 165412707264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278349308172).

165412707264 is an abundant number, since it is smaller than the sum of its proper divisors (391285909080).

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

165412707264 is a wasteful number, since it uses less digits than its factorization.

165412707264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54912 (or 54892 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 165412707264 in words is "one hundred sixty-five billion, four hundred twelve million, seven hundred seven thousand, two hundred sixty-four".