166001161536 has 784 divisors, whose sum is σ = 618852752640. Its totient is φ = 43057889280.

The previous prime is 166001161493. The next prime is 166001161567. The reversal of 166001161536 is 635161100661.

166001161536 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 0 + 1 + 1 + 615 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166001161536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 161009341 + ... + 161010371.

Almost surely, 2^166001161536 is an apocalyptic number.

166001161536 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 166001161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309426376320).

166001161536 is an abundant number, since it is smaller than the sum of its proper divisors (452851591104).

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

166001161536 is a wasteful number, since it uses less digits than its factorization.

166001161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 166001161536 in words is "one hundred sixty-six billion, one million, one hundred sixty-one thousand, five hundred thirty-six".