107862414912 has 560 divisors, whose sum is σ = 394329513600. Its totient is φ = 28449128448.

The previous prime is 107862414883. The next prime is 107862414917. The reversal of 107862414912 is 219414268701.

107862414912 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 624 + 1 + 4 + 9 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (107862414917) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32693839 + ... + 32697137.

Almost surely, 2^107862414912 is an apocalyptic number.

107862414912 is a gapful number since it is divisible by the number (12) 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 107862414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197164756800).

107862414912 is an abundant number, since it is smaller than the sum of its proper divisors (286467098688).

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

107862414912 is a wasteful number, since it uses less digits than its factorization.

107862414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 107862414912 in words is "one hundred seven billion, eight hundred sixty-two million, four hundred fourteen thousand, nine hundred twelve".