92415392001 has 9 divisors (see below), whose sum is σ = 133490216899. Its totient is φ = 61609653336.

The previous prime is 92415391963. The next prime is 92415392021. The reversal of 92415392001 is 10029351429.

The square root of 92415392001 is 303999.

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

92415392001 is a `hidden beast` number, since 9 + 2 + 415 + 39 + 200 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80550954225 + 11864437776 = 283815^2 + 108924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 92415392001 - 2⁹ = 92415391489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92415392021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 861331 + ... + 962663.

Almost surely, 2^92415392001 is an apocalyptic number.

92415392001 is the 303999-th square number.

92415392001 is the 152000-th centered octagonal number.

It is an amenable number.

92415392001 is a deficient number, since it is larger than the sum of its proper divisors (41074824898).

92415392001 is an frugal number, since it uses more digits than its factorization.

92415392001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202672 (or 101336 counting only the distinct ones).

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

Multiplying 92415392001 by its sum of digits (36), we get a square (3326954112036 = 1823994²).

It can be divided in two parts, 92415 and 392001, that added together give a square (484416 = 696²).

The spelling of 92415392001 in words is "ninety-two billion, four hundred fifteen million, three hundred ninety-two thousand, one".