107713064448000 has 2496 divisors, whose sum is σ = 441154877829120. Its totient is φ = 25050415104000.

The previous prime is 107713064447971. The next prime is 107713064448103. The reversal of 107713064448000 is 844460317701.

107713064448000 is a `hidden beast` number, since 1 + 0 + 77 + 130 + 6 + 4 + 448 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148161023637 + ... + 148161024363.

It is an arithmetic number, because the mean of its divisors is an integer number (176744742720).

Almost surely, 2^{107713064448000} is an apocalyptic number.

107713064448000 is a gapful number since it is divisible by the number (10) 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 107713064448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220577438914560).

107713064448000 is an abundant number, since it is smaller than the sum of its proper divisors (333441813381120).

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

107713064448000 is a wasteful number, since it uses less digits than its factorization.

107713064448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 107713064448000 in words is "one hundred seven trillion, seven hundred thirteen billion, sixty-four million, four hundred forty-eight thousand".