167646560665600 has 135 divisors (see below), whose sum is σ = 415771333556761. Its totient is φ = 67055309619200.

The previous prime is 167646560665553. The next prime is 167646560665679. The reversal of 167646560665600 is 6566065646761.

It is a happy number.

The square root of 167646560665600 is 12947840.

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

It can be written as a sum of positive squares in only one way, i.e., 60352761839616 + 107293798825984 = 7768704^2 + 10358272^2 .

It is a super-2 number, since 2×167646560665600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8286607485 + ... + 8286627715.

Almost surely, 2^{167646560665600} is an apocalyptic number.

167646560665600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

167646560665600 is the 12947840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167646560665600

167646560665600 is an abundant number, since it is smaller than the sum of its proper divisors (248124772891161).

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

167646560665600 is an frugal number, since it uses more digits than its factorization.

167646560665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40500 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 64.

167646560665600 divided by its sum of digits (64) gives a square (2619477510400 = 1618480²).

The spelling of 167646560665600 in words is "one hundred sixty-seven trillion, six hundred forty-six billion, five hundred sixty million, six hundred sixty-five thousand, six hundred".