45408964647960 has 128 divisors (see below), whose sum is σ = 151462605888000. Its totient is φ = 12101106008448.

The previous prime is 45408964647911. The next prime is 45408964647971. The reversal of 45408964647960 is 6974646980454.

45408964647960 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 8 + 96 + 4 + 6 + 479 + 60 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12158620 + ... + 15448299.

It is an arithmetic number, because the mean of its divisors is an integer number (1183301608500).

Almost surely, 2^{45408964647960} is an apocalyptic number.

45408964647960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45408964647960 is an abundant number, since it is smaller than the sum of its proper divisors (106053641240040).

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

45408964647960 is a wasteful number, since it uses less digits than its factorization.

45408964647960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27608462 (or 27608452 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 45408964647960 in words is "forty-five trillion, four hundred eight billion, nine hundred sixty-four million, six hundred forty-seven thousand, nine hundred sixty".