45984643920 has 80 divisors (see below), whose sum is σ = 158391558720. Its totient is φ = 12262571136.

The previous prime is 45984643877. The next prime is 45984643927. The reversal of 45984643920 is 2934648954.

45984643920 is a `hidden beast` number, since 4 + 5 + 98 + 464 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45984643920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45984643927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10642434 + ... + 10646753.

It is an arithmetic number, because the mean of its divisors is an integer number (1979894484).

Almost surely, 2^45984643920 is an apocalyptic number.

45984643920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45984643920 is an abundant number, since it is smaller than the sum of its proper divisors (112406914800).

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

45984643920 is a wasteful number, since it uses less digits than its factorization.

45984643920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21289209 (or 21289197 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 45984643920 in words is "forty-five billion, nine hundred eighty-four million, six hundred forty-three thousand, nine hundred twenty".