45635781440 has 112 divisors (see below), whose sum is σ = 113422816080. Its totient is φ = 17472798720.

The previous prime is 45635781437. The next prime is 45635781491. The reversal of 45635781440 is 4418753654.

It can be written as a sum of positive squares in 8 ways, for example, as 2912545024 + 42723236416 = 53968^2 + 206696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662546 + ... + 728174.

It is an arithmetic number, because the mean of its divisors is an integer number (1012703715).

Almost surely, 2^45635781440 is an apocalyptic number.

45635781440 is a gapful number since it is divisible by the number (40) 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 45635781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56711408040).

45635781440 is an abundant number, since it is smaller than the sum of its proper divisors (67787034640).

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

45635781440 is a wasteful number, since it uses less digits than its factorization.

45635781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65740 (or 65730 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 45635781440 in words is "forty-five billion, six hundred thirty-five million, seven hundred eighty-one thousand, four hundred forty".