166892710392001 has 12 divisors (see below), whose sum is σ = 194234880254436. Its totient is φ = 142795901937920.

The previous prime is 166892710391999. The next prime is 166892710392179. The reversal of 166892710392001 is 100293017298661.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80860110450625 + 86032599941376 = 8992225^2 + 9275376^2 .

It is not a de Polignac number, because 166892710392001 - 2¹ = 166892710391999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166892710392301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40567015540 + ... + 40567019653.

It is an arithmetic number, because the mean of its divisors is an integer number (16186240021203).

Almost surely, 2^{166892710392001} is an apocalyptic number.

166892710392001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166892710392001 is a deficient number, since it is larger than the sum of its proper divisors (27342169862435).

166892710392001 is a wasteful number, since it uses less digits than its factorization.

166892710392001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81134035232 (or 81134035221 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 166892710392001 in words is "one hundred sixty-six trillion, eight hundred ninety-two billion, seven hundred ten million, three hundred ninety-two thousand, one".