92245491072000 has 2112 divisors, whose sum is σ = 387068703840000. Its totient is φ = 20690082201600.

The previous prime is 92245491071999. The next prime is 92245491072011. The reversal of 92245491072000 is 27019454229.

92245491072000 is a `hidden beast` number, since 9 + 2 + 24 + 549 + 10 + 72 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×92245491072000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205446527776 + ... + 205446528224.

Almost surely, 2^{92245491072000} is an apocalyptic number.

92245491072000 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 92245491072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193534351920000).

92245491072000 is an abundant number, since it is smaller than the sum of its proper divisors (294823212768000).

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

92245491072000 is a wasteful number, since it uses less digits than its factorization.

92245491072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 92245491072000 in words is "ninety-two trillion, two hundred forty-five billion, four hundred ninety-one million, seventy-two thousand".