45676369649664 has 280 divisors, whose sum is σ = 146953584342180. Its totient is φ = 14054264930304.

The previous prime is 45676369649611. The next prime is 45676369649741. The reversal of 45676369649664 is 46694696367654.

45676369649664 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 6 + 3 + 69 + 6 + 496 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45673375371264 + 2994278400 = 6758208^2 + 54720^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5978632 + ... + 11273720.

Almost surely, 2^{45676369649664} 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 45676369649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73476792171090).

45676369649664 is an abundant number, since it is smaller than the sum of its proper divisors (101277214692516).

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

45676369649664 is an equidigital number, since it uses as much as digits as its factorization.

45676369649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295140 (or 5295107 counting only the distinct ones).

The product of its digits is 25395793920, while the sum is 81.

The spelling of 45676369649664 in words is "forty-five trillion, six hundred seventy-six billion, three hundred sixty-nine million, six hundred forty-nine thousand, six hundred sixty-four".