44686104960 has 256 divisors, whose sum is σ = 165081369600. Its totient is φ = 10069893120.

The previous prime is 44686104941. The next prime is 44686104961. The reversal of 44686104960 is 6940168644.

It is a happy number.

It is a super-2 number, since 2×44686104960² (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 (44686104961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930826 + ... + 977654.

It is an arithmetic number, because the mean of its divisors is an integer number (644849100).

Almost surely, 2^44686104960 is an apocalyptic number.

44686104960 is a gapful number since it is divisible by the number (40) 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 44686104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82540684800).

44686104960 is an abundant number, since it is smaller than the sum of its proper divisors (120395264640).

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

44686104960 is a wasteful number, since it uses less digits than its factorization.

44686104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46929 (or 46917 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 44686104960 in words is "forty-four billion, six hundred eighty-six million, one hundred four thousand, nine hundred sixty".