45455086080 has 480 divisors, whose sum is σ = 164173920768. Its totient is φ = 11612160000.

The previous prime is 45455086073. The next prime is 45455086109. The reversal of 45455086080 is 8068055454.

45455086080 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 508 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60525705 + ... + 60526455.

Almost surely, 2^45455086080 is an apocalyptic number.

45455086080 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 45455086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82086960384).

45455086080 is an abundant number, since it is smaller than the sum of its proper divisors (118718834688).

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

45455086080 is a wasteful number, since it uses less digits than its factorization.

45455086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 45455086080 in words is "forty-five billion, four hundred fifty-five million, eighty-six thousand, eighty".