165296468736 has 864 divisors, whose sum is σ = 600994867200. Its totient is φ = 42639851520.

The previous prime is 165296468731. The next prime is 165296468761. The reversal of 165296468736 is 637864692561.

165296468736 is a `hidden beast` number, since 1 + 6 + 52 + 96 + 468 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (165296468731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 691616905 + ... + 691617143.

Almost surely, 2^165296468736 is an apocalyptic number.

165296468736 is a gapful number since it is divisible by the number (16) 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 165296468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300497433600).

165296468736 is an abundant number, since it is smaller than the sum of its proper divisors (435698398464).

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

165296468736 is a wasteful number, since it uses less digits than its factorization.

165296468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 165296468736 in words is "one hundred sixty-five billion, two hundred ninety-six million, four hundred sixty-eight thousand, seven hundred thirty-six".