45031538544 has 240 divisors, whose sum is σ = 132252963840. Its totient is φ = 13152061440.

The previous prime is 45031538507. The next prime is 45031538557. The reversal of 45031538544 is 44583513054.

It is a junction number, because it is equal to n+sod(n) for n = 45031538496 and 45031538505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17378689 + ... + 17381279.

It is an arithmetic number, because the mean of its divisors is an integer number (551054016).

Almost surely, 2^45031538544 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 45031538544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66126481920).

45031538544 is an abundant number, since it is smaller than the sum of its proper divisors (87221425296).

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

45031538544 is a wasteful number, since it uses less digits than its factorization.

45031538544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 45031538544 in words is "forty-five billion, thirty-one million, five hundred thirty-eight thousand, five hundred forty-four".