45992304928080 has 1120 divisors, whose sum is σ = 189227176185600. Its totient is φ = 10385494963200.

The previous prime is 45992304928043. The next prime is 45992304928109. The reversal of 45992304928080 is 8082940329954.

45992304928080 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 230 + 49 + 280 + 80 = 666.

It is a super-2 number, since 2×45992304928080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 45992304927999 and 45992304928017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1660298230 + ... + 1660325930.

It is an arithmetic number, because the mean of its divisors is an integer number (168952835880).

Almost surely, 2^{45992304928080} is an apocalyptic number.

45992304928080 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 45992304928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94613588092800).

45992304928080 is an abundant number, since it is smaller than the sum of its proper divisors (143234871257520).

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

45992304928080 is an equidigital number, since it uses as much as digits as its factorization.

45992304928080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27836 (or 27801 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 45992304928080 in words is "forty-five trillion, nine hundred ninety-two billion, three hundred four million, nine hundred twenty-eight thousand, eighty".