45972443700 has 576 divisors, whose sum is σ = 165989376000. Its totient is φ = 10859650560.

The previous prime is 45972443689. The next prime is 45972443701. The reversal of 45972443700 is 734427954.

45972443700 is a `hidden beast` number, since 4 + 597 + 24 + 4 + 37 + 0 + 0 = 666.

It is a super-2 number, since 2×45972443700² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45972443701) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 55454886 + ... + 55455714.

It is an arithmetic number, because the mean of its divisors is an integer number (288176000).

Almost surely, 2^45972443700 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 45972443700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994688000).

45972443700 is an abundant number, since it is smaller than the sum of its proper divisors (120016932300).

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

45972443700 is a wasteful number, since it uses less digits than its factorization.

45972443700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45972443700 in words is "forty-five billion, nine hundred seventy-two million, four hundred forty-three thousand, seven hundred".