45631612224 has 224 divisors, whose sum is σ = 147858480000. Its totient is φ = 13684654080.

The previous prime is 45631612217. The next prime is 45631612253. The reversal of 45631612224 is 42221613654.

45631612224 is a `hidden beast` number, since 4 + 5 + 6 + 31 + 612 + 2 + 2 + 4 = 666.

45631612224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831402 + ... + 1856150.

It is an arithmetic number, because the mean of its divisors is an integer number (660082500).

Almost surely, 2^45631612224 is an apocalyptic number.

45631612224 is a gapful number since it is divisible by the number (44) 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 45631612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73929240000).

45631612224 is an abundant number, since it is smaller than the sum of its proper divisors (102226867776).

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

45631612224 is a wasteful number, since it uses less digits than its factorization.

45631612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24878 (or 24862 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 45631612224 in words is "forty-five billion, six hundred thirty-one million, six hundred twelve thousand, two hundred twenty-four".