45751290577920 has 528 divisors, whose sum is σ = 161463864706560. Its totient is φ = 11976115027968.

The previous prime is 45751290577919. The next prime is 45751290577933. The reversal of 45751290577920 is 2977509215754.

It is a happy number.

45751290577920 is a `hidden beast` number, since 4 + 5 + 7 + 51 + 2 + 9 + 0 + 577 + 9 + 2 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629739037 + ... + 629811683.

Almost surely, 2^{45751290577920} is an apocalyptic number.

45751290577920 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 45751290577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80731932353280).

45751290577920 is an abundant number, since it is smaller than the sum of its proper divisors (115712574128640).

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

45751290577920 is a wasteful number, since it uses less digits than its factorization.

45751290577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72930 (or 72909 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 63.

The spelling of 45751290577920 in words is "forty-five trillion, seven hundred fifty-one billion, two hundred ninety million, five hundred seventy-seven thousand, nine hundred twenty".