44465685264 has 960 divisors, whose sum is σ = 178728560640. Its totient is φ = 10220774400.

The previous prime is 44465685263. The next prime is 44465685281. The reversal of 44465685264 is 46258656444.

44465685264 is a `hidden beast` number, since 44 + 465 + 6 + 85 + 2 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44465685264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44465685263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415567099 + ... + 415567205.

It is an arithmetic number, because the mean of its divisors is an integer number (186175584).

Almost surely, 2^44465685264 is an apocalyptic number.

44465685264 is a gapful number since it is divisible by the number (44) 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 44465685264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89364280320).

44465685264 is an abundant number, since it is smaller than the sum of its proper divisors (134262875376).

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

44465685264 is a wasteful number, since it uses less digits than its factorization.

44465685264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 174 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 44465685264 in words is "forty-four billion, four hundred sixty-five million, six hundred eighty-five thousand, two hundred sixty-four".