44685346464 has 720 divisors, whose sum is σ = 158770319400. Its totient is φ = 12305018880.

The previous prime is 44685346457. The next prime is 44685346469. The reversal of 44685346464 is 46464358644.

44685346464 is a `hidden beast` number, since 4 + 4 + 68 + 534 + 6 + 46 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39992000400 + 4693346064 = 199980^2 + 68508^2 .

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 44685346464.

It is not an unprimeable number, because it can be changed into a prime (44685346469) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1540874002 + ... + 1540874030.

Almost surely, 2^44685346464 is an apocalyptic number.

44685346464 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 44685346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79385159700).

44685346464 is an abundant number, since it is smaller than the sum of its proper divisors (114084972936).

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

44685346464 is a wasteful number, since it uses less digits than its factorization.

44685346464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 54.

The spelling of 44685346464 in words is "forty-four billion, six hundred eighty-five million, three hundred forty-six thousand, four hundred sixty-four".