45972653184 has 384 divisors, whose sum is σ = 143150716800. Its totient is φ = 14125056000.

The previous prime is 45972653173. The next prime is 45972653219. The reversal of 45972653184 is 48135627954.

It is a happy number.

45972653184 is a `hidden beast` number, since 4 + 5 + 9 + 7 + 26 + 531 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45972653184² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45972653184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109719727 + ... + 109720145.

It is an arithmetic number, because the mean of its divisors is an integer number (372788325).

Almost surely, 2^45972653184 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 45972653184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71575358400).

45972653184 is an abundant number, since it is smaller than the sum of its proper divisors (97178063616).

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

45972653184 is a wasteful number, since it uses less digits than its factorization.

45972653184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 589 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 45972653184 in words is "forty-five billion, nine hundred seventy-two million, six hundred fifty-three thousand, one hundred eighty-four".