107431486848 has 192 divisors, whose sum is σ = 354183616800. Its totient is φ = 30618722304.

The previous prime is 107431486837. The next prime is 107431486871. The reversal of 107431486848 is 848684134701.

107431486848 is a `hidden beast` number, since 10 + 74 + 3 + 1 + 486 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 107431486794 and 107431486803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3281890 + ... + 3314462.

Almost surely, 2^107431486848 is an apocalyptic number.

107431486848 is a gapful number since it is divisible by the number (18) 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 107431486848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177091808400).

107431486848 is an abundant number, since it is smaller than the sum of its proper divisors (246752129952).

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

107431486848 is a wasteful number, since it uses less digits than its factorization.

107431486848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33009 (or 32994 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 107431486848 in words is "one hundred seven billion, four hundred thirty-one million, four hundred eighty-six thousand, eight hundred forty-eight".