92048837124096 has 336 divisors, whose sum is σ = 281634632715384. Its totient is φ = 28868767383552.

The previous prime is 92048837124077. The next prime is 92048837124107. The reversal of 92048837124096 is 69042173884029.

92048837124096 is a `hidden beast` number, since 9 + 20 + 488 + 3 + 7 + 1 + 2 + 40 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90081662570496 + 1967174553600 = 9491136^2 + 1402560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4608653566 + ... + 4608673538.

Almost surely, 2^{92048837124096} is an apocalyptic number.

92048837124096 is a gapful number since it is divisible by the number (96) 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 92048837124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140817316357692).

92048837124096 is an abundant number, since it is smaller than the sum of its proper divisors (189585795591288).

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

92048837124096 is a wasteful number, since it uses less digits than its factorization.

92048837124096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23699 (or 23672 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 92048837124096 in words is "ninety-two trillion, forty-eight billion, eight hundred thirty-seven million, one hundred twenty-four thousand, ninety-six".