45460997406720 has 1728 divisors, whose sum is σ = 191974239475200. Its totient is φ = 9929125527552.

The previous prime is 45460997406707. The next prime is 45460997406791. The reversal of 45460997406720 is 2760479906454.

It is a happy number.

45460997406720 is a `hidden beast` number, since 4 + 5 + 460 + 9 + 97 + 4 + 0 + 67 + 20 = 666.

It is a super-3 number, since 3×45460997406720³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46531214872 + ... + 46531215848.

It is an arithmetic number, because the mean of its divisors is an integer number (111096203400).

Almost surely, 2^{45460997406720} is an apocalyptic number.

45460997406720 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 45460997406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95987119737600).

45460997406720 is an abundant number, since it is smaller than the sum of its proper divisors (146513242068480).

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

45460997406720 is an frugal number, since it uses more digits than its factorization.

45460997406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 45460997406720 in words is "forty-five trillion, four hundred sixty billion, nine hundred ninety-seven million, four hundred six thousand, seven hundred twenty".