107387346046464 has 320 divisors, whose sum is σ = 346958292890880. Its totient is φ = 32524104130560.

The previous prime is 107387346046433. The next prime is 107387346046499. The reversal of 107387346046464 is 464640643783701.

107387346046464 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 8 + 73 + 4 + 60 + 46 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283714362 + ... + 284092614.

It is an arithmetic number, because the mean of its divisors is an integer number (1084244665284).

Almost surely, 2^{107387346046464} 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 107387346046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173479146445440).

107387346046464 is an abundant number, since it is smaller than the sum of its proper divisors (239570946844416).

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

107387346046464 is a wasteful number, since it uses less digits than its factorization.

107387346046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380158 (or 380136 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 107387346046464 in words is "one hundred seven trillion, three hundred eighty-seven billion, three hundred forty-six million, forty-six thousand, four hundred sixty-four".