45681370974720 has 960 divisors, whose sum is σ = 179553965310720. Its totient is φ = 10640380133376.

The previous prime is 45681370974689. The next prime is 45681370974763. The reversal of 45681370974720 is 2747907318654.

45681370974720 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 1 + 3 + 70 + 97 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×45681370974720³ (a number of 42 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5423404429 + ... + 5423412851.

It is an arithmetic number, because the mean of its divisors is an integer number (187035380532).

It is a 1-persistent number, because it is pandigital, but 2⋅45681370974720 = 91362741949440 is not.

Almost surely, 2^{45681370974720} is an apocalyptic number.

45681370974720 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 45681370974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89776982655360).

45681370974720 is an abundant number, since it is smaller than the sum of its proper divisors (133872594336000).

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

45681370974720 is a wasteful number, since it uses less digits than its factorization.

45681370974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 45681370974720 in words is "forty-five trillion, six hundred eighty-one billion, three hundred seventy million, nine hundred seventy-four thousand, seven hundred twenty".