45904673754720 has 1152 divisors, whose sum is σ = 181457650483200. Its totient is φ = 10458627379200.

The previous prime is 45904673754713. The next prime is 45904673754727. The reversal of 45904673754720 is 2745737640954.

45904673754720 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 4 + 67 + 3 + 7 + 547 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (45904673754713) and next prime (45904673754727).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45904673754727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6072846301 + ... + 6072853859.

It is an arithmetic number, because the mean of its divisors is an integer number (157515321600).

Almost surely, 2^{45904673754720} is an apocalyptic number.

45904673754720 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 45904673754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90728825241600).

45904673754720 is an abundant number, since it is smaller than the sum of its proper divisors (135552976728480).

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

45904673754720 is a wasteful number, since it uses less digits than its factorization.

45904673754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 45904673754720 in words is "forty-five trillion, nine hundred four billion, six hundred seventy-three million, seven hundred fifty-four thousand, seven hundred twenty".