92469456138816 has 147 divisors (see below), whose sum is σ = 275121442127491. Its totient is φ = 30822459686784.

The previous prime is 92469456138743. The next prime is 92469456138847. The reversal of 92469456138816 is 61883165496429.

The square root of 92469456138816 is 9616104.

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

92469456138816 is a `hidden beast` number, since 9 + 2 + 4 + 69 + 456 + 1 + 38 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2077056205 + ... + 2077100723.

Almost surely, 2^{92469456138816} is an apocalyptic number.

92469456138816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

92469456138816 is the 9616104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92469456138816

92469456138816 is an abundant number, since it is smaller than the sum of its proper divisors (182651985988675).

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

92469456138816 is an frugal number, since it uses more digits than its factorization.

92469456138816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89068 (or 44524 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 92469456138816 in words is "ninety-two trillion, four hundred sixty-nine billion, four hundred fifty-six million, one hundred thirty-eight thousand, eight hundred sixteen".