10117844892736 has 189 divisors, whose sum is σ = 23687901729639. Its totient is φ = 4275375826176.

The previous prime is 10117844892689. The next prime is 10117844892767. The reversal of 10117844892736 is 63729844871101.

It is a happy number.

The square root of 10117844892736 is 3180856.

It is a perfect power (a square), and thus also a powerful number.

10117844892736 is digitally balanced in base 2, 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 26 ways as a sum of consecutive naturals, for example, 14072106585 + ... + 14072107303.

Almost surely, 2^{10117844892736} is an apocalyptic number.

10117844892736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10117844892736 is the 3180856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117844892736

10117844892736 is an abundant number, since it is smaller than the sum of its proper divisors (13570056836903).

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

10117844892736 is an frugal number, since it uses more digits than its factorization.

10117844892736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 10117844892736 in words is "ten trillion, one hundred seventeen billion, eight hundred forty-four million, eight hundred ninety-two thousand, seven hundred thirty-six".