165497761668096 has 880 divisors, whose sum is σ = 594113150429568. Its totient is φ = 45216357580800.

The previous prime is 165497761668091. The next prime is 165497761668137. The reversal of 165497761668096 is 690866167794561.

165497761668096 is a `hidden beast` number, since 1 + 6 + 5 + 497 + 7 + 61 + 6 + 68 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165497761668091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 509860411 + ... + 510184901.

Almost surely, 2^{165497761668096} is an apocalyptic number.

165497761668096 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 165497761668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297056575214784).

165497761668096 is an abundant number, since it is smaller than the sum of its proper divisors (428615388761472).

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

165497761668096 is a wasteful number, since it uses less digits than its factorization.

165497761668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324590 (or 324563 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 165497761668096 in words is "one hundred sixty-five trillion, four hundred ninety-seven billion, seven hundred sixty-one million, six hundred sixty-eight thousand, ninety-six".