165747456 has 216 divisors, whose sum is σ = 561200640. Its totient is φ = 46061568.

The previous prime is 165747443. The next prime is 165747473. The reversal of 165747456 is 654747561.

165747456 is a `hidden beast` number, since 1 + 6 + 574 + 74 + 5 + 6 = 666.

Its product of digits (705600) is a multiple of the sum of its prime divisors (294).

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, 693385 + ... + 693623.

Almost surely, 2^165747456 is an apocalyptic number.

165747456 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 165747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280600320).

165747456 is an abundant number, since it is smaller than the sum of its proper divisors (395453184).

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

165747456 is a wasteful number, since it uses less digits than its factorization.

165747456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 165747456 is about 12874.2943884315. The cubic root of 165747456 is about 549.3076202080.

The spelling of 165747456 in words is "one hundred sixty-five million, seven hundred forty-seven thousand, four hundred fifty-six".