45492635260800 has 2304 divisors, whose sum is σ = 202231062633600. Its totient is φ = 9481998827520.

The previous prime is 45492635260783. The next prime is 45492635260817. The reversal of 45492635260800 is 806253629454.

45492635260800 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 26 + 3 + 5 + 2 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45492635260783) and next prime (45492635260817).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 121964169414 + ... + 121964169786.

Almost surely, 2^{45492635260800} is an apocalyptic number.

45492635260800 is a gapful number since it is divisible by the number (40) 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 45492635260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101115531316800).

45492635260800 is an abundant number, since it is smaller than the sum of its proper divisors (156738427372800).

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

45492635260800 is a wasteful number, since it uses less digits than its factorization.

45492635260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45492635260800 in words is "forty-five trillion, four hundred ninety-two billion, six hundred thirty-five million, two hundred sixty thousand, eight hundred".