45764422859376 has 960 divisors, whose sum is σ = 150087500035200. Its totient is φ = 12898686468096.

The previous prime is 45764422859369. The next prime is 45764422859413. The reversal of 45764422859376 is 67395822446754.

45764422859376 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 4 + 4 + 2 + 28 + 593 + 7 + 6 = 666.

It is a super-2 number, since 2×45764422859376² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64547845710 + ... + 64547846418.

It is an arithmetic number, because the mean of its divisors is an integer number (156341145870).

Almost surely, 2^{45764422859376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45764422859376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75043750017600).

45764422859376 is an abundant number, since it is smaller than the sum of its proper divisors (104323077175824).

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

45764422859376 is a wasteful number, since it uses less digits than its factorization.

45764422859376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 45764422859376 in words is "forty-five trillion, seven hundred sixty-four billion, four hundred twenty-two million, eight hundred fifty-nine thousand, three hundred seventy-six".