44113616624 has 360 divisors, whose sum is σ = 115816587264. Its totient is φ = 15926803200.

The previous prime is 44113616587. The next prime is 44113616699. The reversal of 44113616624 is 42661631144.

It is a super-2 number, since 2×44113616624² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 347351249 + ... + 347351375.

Almost surely, 2^44113616624 is an apocalyptic number.

44113616624 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 44113616624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57908293632).

44113616624 is an abundant number, since it is smaller than the sum of its proper divisors (71702970640).

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

44113616624 is a wasteful number, since it uses less digits than its factorization.

44113616624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 237 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 44113616624 in words is "forty-four billion, one hundred thirteen million, six hundred sixteen thousand, six hundred twenty-four".