45697732416 has 378 divisors, whose sum is σ = 158293055778. Its totient is φ = 13050616320.

The previous prime is 45697732403. The next prime is 45697732417. The reversal of 45697732416 is 61423779654.

45697732416 is a `hidden beast` number, since 4 + 569 + 7 + 7 + 32 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41664974400 + 4032758016 = 204120^2 + 63504^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45697732417) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20574186 + ... + 20576406.

Almost surely, 2^45697732416 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 45697732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79146527889).

45697732416 is an abundant number, since it is smaller than the sum of its proper divisors (112595323362).

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

45697732416 is an frugal number, since it uses more digits than its factorization.

45697732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2233 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 45697732416 in words is "forty-five billion, six hundred ninety-seven million, seven hundred thirty-two thousand, four hundred sixteen".