10114686400 has 336 divisors, whose sum is σ = 30929575936. Its totient is φ = 3170119680.

The previous prime is 10114686389. The next prime is 10114686403. The reversal of 10114686400 is 468641101.

10114686400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114686403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18490927 + ... + 18491473.

Almost surely, 2^10114686400 is an apocalyptic number.

10114686400 is a gapful number since it is divisible by the number (10) 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 10114686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464787968).

10114686400 is an abundant number, since it is smaller than the sum of its proper divisors (20814889536).

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

10114686400 is a wasteful number, since it uses less digits than its factorization.

10114686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 10114686400 in words is "ten billion, one hundred fourteen million, six hundred eighty-six thousand, four hundred".