107708351422464 has 896 divisors, whose sum is σ = 367297884737280. Its totient is φ = 30898548375552.

The previous prime is 107708351422453. The next prime is 107708351422487. The reversal of 107708351422464 is 464224153807701.

107708351422464 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 0 + 8 + 35 + 142 + 2 + 464 = 666.

It is a super-2 number, since 2×107708351422464² (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 a self number, because there is not a number n which added to its sum of digits gives 107708351422464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5230327752 + ... + 5230348344.

It is an arithmetic number, because the mean of its divisors is an integer number (409930674930).

Almost surely, 2^{107708351422464} 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 107708351422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648942368640).

107708351422464 is an abundant number, since it is smaller than the sum of its proper divisors (259589533314816).

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

107708351422464 is a wasteful number, since it uses less digits than its factorization.

107708351422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20765 (or 20735 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 107708351422464 in words is "one hundred seven trillion, seven hundred eight billion, three hundred fifty-one million, four hundred twenty-two thousand, four hundred sixty-four".