45972752862960 has 800 divisors, whose sum is σ = 199234733018112. Its totient is φ = 9544842178560.

The previous prime is 45972752862931. The next prime is 45972752862961. The reversal of 45972752862960 is 6926825727954.

45972752862960 is a `hidden beast` number, since 4 + 5 + 9 + 7 + 2 + 7 + 528 + 6 + 2 + 96 + 0 = 666.

It is a super-2 number, since 2×45972752862960² (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 not an unprimeable number, because it can be changed into a prime (45972752862961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 610190412 + ... + 610265748.

Almost surely, 2^{45972752862960} is an apocalyptic number.

45972752862960 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 45972752862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99617366509056).

45972752862960 is an abundant number, since it is smaller than the sum of its proper divisors (153261980155152).

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

45972752862960 is a wasteful number, since it uses less digits than its factorization.

45972752862960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76603 (or 76588 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 45972752862960 in words is "forty-five trillion, nine hundred seventy-two billion, seven hundred fifty-two million, eight hundred sixty-two thousand, nine hundred sixty".