45565314816 has 216 divisors, whose sum is σ = 148496436480. Its totient is φ = 12333275136.

The previous prime is 45565314811. The next prime is 45565314887. The reversal of 45565314816 is 61841356554.

It is a super-2 number, since 2×45565314816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45565314811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683145 + ... + 746871.

Almost surely, 2^45565314816 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 45565314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74248218240).

45565314816 is an abundant number, since it is smaller than the sum of its proper divisors (102931121664).

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

45565314816 is a wasteful number, since it uses less digits than its factorization.

45565314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63779 (or 63758 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 48.

The spelling of 45565314816 in words is "forty-five billion, five hundred sixty-five million, three hundred fourteen thousand, eight hundred sixteen".