45082114560 has 960 divisors, whose sum is σ = 188257665024. Its totient is φ = 9754214400.

The previous prime is 45082114559. The next prime is 45082114579. The reversal of 45082114560 is 6541128054.

It is a happy number.

45082114560 is a `hidden beast` number, since 4 + 5 + 0 + 82 + 1 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354977217 + ... + 354977343.

Almost surely, 2^45082114560 is an apocalyptic number.

45082114560 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 45082114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94128832512).

45082114560 is an abundant number, since it is smaller than the sum of its proper divisors (143175550464).

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

45082114560 is a wasteful number, since it uses less digits than its factorization.

45082114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45082114560 in words is "forty-five billion, eighty-two million, one hundred fourteen thousand, five hundred sixty".