166353734956761 has 63 divisors (see below), whose sum is σ = 274158339487333. Its totient is φ = 100818123820920.

The previous prime is 166353734956687. The next prime is 166353734956793. The reversal of 166353734956761 is 167659437353661.

The square root of 166353734956761 is 12897819.

It is a perfect power (a square), and thus also a powerful number.

166353734956761 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 5 + 3 + 73 + 495 + 6 + 7 + 61 = 666.

It is not a de Polignac number, because 166353734956761 - 2¹⁵ = 166353734923993 is a prime.

It is a super-2 number, since 2×166353734956761² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166353734956761.

It is not an unprimeable number, because it can be changed into a prime (166353734756761) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3830630530 + ... + 3830673956.

Almost surely, 2^{166353734956761} is an apocalyptic number.

166353734956761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

166353734956761 is the 12897819-th square number.

166353734956761 is the 6448910-th centered octagonal number.

It is an amenable number.

166353734956761 is a deficient number, since it is larger than the sum of its proper divisors (107804604530572).

166353734956761 is an frugal number, since it uses more digits than its factorization.

166353734956761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86894 (or 43441 counting only the distinct ones).

The product of its digits is 1543147200, while the sum is 72.

The spelling of 166353734956761 in words is "one hundred sixty-six trillion, three hundred fifty-three billion, seven hundred thirty-four million, nine hundred fifty-six thousand, seven hundred sixty-one".