10114112736 has 1152 divisors, whose sum is σ = 41699266560. Its totient is φ = 2350301184.

The previous prime is 10114112681. The next prime is 10114112773. The reversal of 10114112736 is 63721141101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215193865 + ... + 215193911.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 2^10114112736 is an apocalyptic number.

10114112736 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 10114112736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849633280).

10114112736 is an abundant number, since it is smaller than the sum of its proper divisors (31585153824).

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

10114112736 is a wasteful number, since it uses less digits than its factorization.

10114112736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10114112736 its reverse (63721141101), we get a palindrome (73835253837).

The spelling of 10114112736 in words is "ten billion, one hundred fourteen million, one hundred twelve thousand, seven hundred thirty-six".