107464877353648 has 80 divisors (see below), whose sum is σ = 222790729944960. Its totient is φ = 50040030348288.

The previous prime is 107464877353609. The next prime is 107464877353649. The reversal of 107464877353648 is 846353778464701.

107464877353648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (107464877353649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4725343 + ... + 15403201.

It is an arithmetic number, because the mean of its divisors is an integer number (2784884124312).

Almost surely, 2^{107464877353648} 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 107464877353648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111395364972480).

107464877353648 is an abundant number, since it is smaller than the sum of its proper divisors (115325852591312).

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

107464877353648 is a wasteful number, since it uses less digits than its factorization.

107464877353648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678274 (or 10678268 counting only the distinct ones).

The product of its (nonzero) digits is 2275983360, while the sum is 73.

The spelling of 107464877353648 in words is "one hundred seven trillion, four hundred sixty-four billion, eight hundred seventy-seven million, three hundred fifty-three thousand, six hundred forty-eight".