107338846464 has 504 divisors, whose sum is σ = 355167009792. Its totient is φ = 32188907520.

The previous prime is 107338846451. The next prime is 107338846471. The reversal of 107338846464 is 464648833701.

107338846464 is a `hidden beast` number, since 1 + 0 + 73 + 38 + 84 + 6 + 464 = 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 107338846464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 72969249 + ... + 72970719.

It is an arithmetic number, because the mean of its divisors is an integer number (704696448).

Almost surely, 2^107338846464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107338846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177583504896).

107338846464 is an abundant number, since it is smaller than the sum of its proper divisors (247828163328).

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

107338846464 is an equidigital number, since it uses as much as digits as its factorization.

107338846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 107338846464 in words is "one hundred seven billion, three hundred thirty-eight million, eight hundred forty-six thousand, four hundred sixty-four".