45492080989824 has 640 divisors, whose sum is σ = 162926899977600. Its totient is φ = 12309163646976.

The previous prime is 45492080989801. The next prime is 45492080989841. The reversal of 45492080989824 is 42898908029454.

45492080989824 is a `hidden beast` number, since 45 + 492 + 0 + 8 + 0 + 9 + 8 + 98 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5864644954 + ... + 5864652710.

It is an arithmetic number, because the mean of its divisors is an integer number (254573281215).

Almost surely, 2^{45492080989824} 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 45492080989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81463449988800).

45492080989824 is an abundant number, since it is smaller than the sum of its proper divisors (117434818987776).

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

45492080989824 is a wasteful number, since it uses less digits than its factorization.

45492080989824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062 (or 12041 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 45492080989824 in words is "forty-five trillion, four hundred ninety-two billion, eighty million, nine hundred eighty-nine thousand, eight hundred twenty-four".