45490616508960 has 384 divisors, whose sum is σ = 181972028528640. Its totient is φ = 10397308787712.

The previous prime is 45490616508947. The next prime is 45490616508979. The reversal of 45490616508960 is 6980561609454.

45490616508960 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 0 + 61 + 6 + 508 + 9 + 60 = 666.

45490616508960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964844107 + ... + 964891253.

It is an arithmetic number, because the mean of its divisors is an integer number (473885490960).

Almost surely, 2^{45490616508960} is an apocalyptic number.

45490616508960 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 45490616508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90986014264320).

45490616508960 is an abundant number, since it is smaller than the sum of its proper divisors (136481412019680).

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

45490616508960 is a wasteful number, since it uses less digits than its factorization.

45490616508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79085 (or 79071 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 45490616508960 in words is "forty-five trillion, four hundred ninety billion, six hundred sixteen million, five hundred eight thousand, nine hundred sixty".