92145094400 has 216 divisors, whose sum is σ = 238451404800. Its totient is φ = 35211571200.

The previous prime is 92145094357. The next prime is 92145094417. The reversal of 92145094400 is 449054129.

It is a super-2 number, since 2×92145094400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 15670661 + ... + 15676539.

Almost surely, 2^92145094400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92145094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119225702400).

92145094400 is an abundant number, since it is smaller than the sum of its proper divisors (146306310400).

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

92145094400 is a wasteful number, since it uses less digits than its factorization.

92145094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 92145094400 in words is "ninety-two billion, one hundred forty-five million, ninety-four thousand, four hundred".