45613382197824 has 315 divisors, whose sum is σ = 152550432326643. Its totient is φ = 13030125647616.

The previous prime is 45613382197787. The next prime is 45613382197841. The reversal of 45613382197824 is 42879128331654.

It is a happy number.

The square root of 45613382197824 is 6753768.

It is a perfect power (a square), and thus also a powerful number.

45613382197824 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 338 + 219 + 7 + 82 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7942428297 + ... + 7942434039.

Almost surely, 2^{45613382197824} is an apocalyptic number.

45613382197824 is the 6753768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45613382197824

45613382197824 is an abundant number, since it is smaller than the sum of its proper divisors (106937050128819).

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

45613382197824 is an frugal number, since it uses more digits than its factorization.

45613382197824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 5755 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 45613382197824 in words is "forty-five trillion, six hundred thirteen billion, three hundred eighty-two million, one hundred ninety-seven thousand, eight hundred twenty-four".