45751906176480 has 2304 divisors, whose sum is σ = 197886795724800. Its totient is φ = 9390800240640.

The previous prime is 45751906176377. The next prime is 45751906176533. The reversal of 45751906176480 is 8467160915754.

45751906176480 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 1 + 9 + 0 + 617 + 6 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 87815558620 + ... + 87815559140.

It is an arithmetic number, because the mean of its divisors is an integer number (85888366200).

Almost surely, 2^{45751906176480} is an apocalyptic number.

45751906176480 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 45751906176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98943397862400).

45751906176480 is an abundant number, since it is smaller than the sum of its proper divisors (152134889548320).

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

45751906176480 is a wasteful number, since it uses less digits than its factorization.

45751906176480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 45751906176480 in words is "forty-five trillion, seven hundred fifty-one billion, nine hundred six million, one hundred seventy-six thousand, four hundred eighty".