107550631609344 has 1056 divisors, whose sum is σ = 402080209929216. Its totient is φ = 27896217108480.

The previous prime is 107550631609313. The next prime is 107550631609387. The reversal of 107550631609344 is 443906136055701.

107550631609344 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 506 + 3 + 1 + 6 + 0 + 93 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×107550631609344² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15270567487 + ... + 15270574529.

Almost surely, 2^{107550631609344} is an apocalyptic number.

107550631609344 is a gapful number since it is divisible by the number (14) 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 107550631609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201040104964608).

107550631609344 is an abundant number, since it is smaller than the sum of its proper divisors (294529578319872).

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

107550631609344 is an equidigital number, since it uses as much as digits as its factorization.

107550631609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 107550631609344 in words is "one hundred seven trillion, five hundred fifty billion, six hundred thirty-one million, six hundred nine thousand, three hundred forty-four".