165734749440 has 864 divisors, whose sum is σ = 659971952640. Its totient is φ = 38087884800.

The previous prime is 165734749421. The next prime is 165734749493. The reversal of 165734749440 is 44947437561.

165734749440 is a `hidden beast` number, since 1 + 6 + 5 + 73 + 47 + 494 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134633625 + ... + 134634855.

Almost surely, 2^165734749440 is an apocalyptic number.

165734749440 is a gapful number since it is divisible by the number (10) 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 165734749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329985976320).

165734749440 is an abundant number, since it is smaller than the sum of its proper divisors (494237203200).

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

165734749440 is a wasteful number, since it uses less digits than its factorization.

165734749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 165734749440 in words is "one hundred sixty-five billion, seven hundred thirty-four million, seven hundred forty-nine thousand, four hundred forty".