92146741920 has 144 divisors (see below), whose sum is σ = 315647684352. Its totient is φ = 24478932480.

The previous prime is 92146741903. The next prime is 92146741931. The reversal of 92146741920 is 2914764129.

92146741920 is a `hidden beast` number, since 92 + 146 + 7 + 419 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257065 + ... + 500375.

It is an arithmetic number, because the mean of its divisors is an integer number (2191997808).

Almost surely, 2^92146741920 is an apocalyptic number.

92146741920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92146741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157823842176).

92146741920 is an abundant number, since it is smaller than the sum of its proper divisors (223500942432).

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

92146741920 is a wasteful number, since it uses less digits than its factorization.

92146741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243595 (or 243584 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 92146741920 in words is "ninety-two billion, one hundred forty-six million, seven hundred forty-one thousand, nine hundred twenty".