45684413712 has 120 divisors (see below), whose sum is σ = 146336895744. Its totient is φ = 13033101312.

The previous prime is 45684413651. The next prime is 45684413717. The reversal of 45684413712 is 21731448654.

45684413712 is a `hidden beast` number, since 4 + 568 + 4 + 4 + 13 + 71 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (45684413717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644713 + ... + 712055.

Almost surely, 2^45684413712 is an apocalyptic number.

45684413712 is a gapful number since it is divisible by the number (42) 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 45684413712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73168447872).

45684413712 is an abundant number, since it is smaller than the sum of its proper divisors (100652482032).

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

45684413712 is a wasteful number, since it uses less digits than its factorization.

45684413712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68037 (or 68028 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 45684413712 in words is "forty-five billion, six hundred eighty-four million, four hundred thirteen thousand, seven hundred twelve".