168945660900 has 135 divisors (see below), whose sum is σ = 547775030649. Its totient is φ = 45042311520.

The previous prime is 168945660869. The next prime is 168945660973. The reversal of 168945660900 is 9066549861.

It is a happy number.

The square root of 168945660900 is 411030.

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., 60820437924 + 108125222976 = 246618^2 + 328824^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36990417 + ... + 36994983.

Almost surely, 2^168945660900 is an apocalyptic number.

168945660900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168945660900 is the 411030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168945660900

168945660900 is an abundant number, since it is smaller than the sum of its proper divisors (378829369749).

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

168945660900 is an frugal number, since it uses more digits than its factorization.

168945660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 168945660900 in words is "one hundred sixty-eight billion, nine hundred forty-five million, six hundred sixty thousand, nine hundred".