101856258816 has 144 divisors (see below), whose sum is σ = 304632658176. Its totient is φ = 29977694208.

The previous prime is 101856258787. The next prime is 101856258853. The reversal of 101856258816 is 618852658101.

101856258816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7851 + ... + 451413.

Almost surely, 2^101856258816 is an apocalyptic number.

101856258816 is a gapful number since it is divisible by the number (16) 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 101856258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152316329088).

101856258816 is an abundant number, since it is smaller than the sum of its proper divisors (202776399360).

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

101856258816 is a wasteful number, since it uses less digits than its factorization.

101856258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443618 (or 443604 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 51.

The spelling of 101856258816 in words is "one hundred one billion, eight hundred fifty-six million, two hundred fifty-eight thousand, eight hundred sixteen".