107838761748399 has 12 divisors (see below), whose sum is σ = 169927745785512. Its totient is φ = 65356825302000.

The previous prime is 107838761748373. The next prime is 107838761748449. The reversal of 107838761748399 is 993847167838701.

107838761748399 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 38 + 7 + 6 + 17 + 483 + 99 = 666.

It is not a de Polignac number, because 107838761748399 - 2²⁰ = 107838760699823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107838761748499) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 544640210752 + ... + 544640210949.

It is an arithmetic number, because the mean of its divisors is an integer number (14160645482126).

Almost surely, 2^{107838761748399} is an apocalyptic number.

107838761748399 is a deficient number, since it is larger than the sum of its proper divisors (62088984037113).

107838761748399 is a wasteful number, since it uses less digits than its factorization.

107838761748399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089280421718 (or 1089280421715 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 81.

The spelling of 107838761748399 in words is "one hundred seven trillion, eight hundred thirty-eight billion, seven hundred sixty-one million, seven hundred forty-eight thousand, three hundred ninety-nine".