45613605640 has 128 divisors (see below), whose sum is σ = 105639811200. Its totient is φ = 17719603200.

The previous prime is 45613605613. The next prime is 45613605643. The reversal of 45613605640 is 4650631654.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45613605593 and 45613605602.

It is not an unprimeable number, because it can be changed into a prime (45613605643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113749440 + ... + 113749840.

It is an arithmetic number, because the mean of its divisors is an integer number (825311025).

Almost surely, 2^45613605640 is an apocalyptic number.

45613605640 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 45613605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52819905600).

45613605640 is an abundant number, since it is smaller than the sum of its proper divisors (60026205560).

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

45613605640 is a wasteful number, since it uses less digits than its factorization.

45613605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 45613605640 in words is "forty-five billion, six hundred thirteen million, six hundred five thousand, six hundred forty".