92045989440 has 588 divisors, whose sum is σ = 347150208924. Its totient is φ = 23232448512.

The previous prime is 92045989433. The next prime is 92045989447. The reversal of 92045989440 is 4498954029.

92045989440 is a `hidden beast` number, since 9 + 2 + 0 + 4 + 598 + 9 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (92045989433) and next prime (92045989447).

It can be written as a sum of positive squares in 2 ways, for example, as 68988174336 + 23057815104 = 262656^2 + 151848^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92045989447) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 84213534 + ... + 84214626.

Almost surely, 2^92045989440 is an apocalyptic number.

92045989440 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 92045989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173575104462).

92045989440 is an abundant number, since it is smaller than the sum of its proper divisors (255104219484).

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

92045989440 is a wasteful number, since it uses less digits than its factorization.

92045989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 92045989440 in words is "ninety-two billion, forty-five million, nine hundred eighty-nine thousand, four hundred forty".