10901230475814 has 320 divisors, whose sum is σ = 29833679462400. Its totient is φ = 2907975168000.

The previous prime is 10901230475801. The next prime is 10901230475833. The reversal of 10901230475814 is 41857403210901.

10901230475814 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 1 + 23 + 0 + 47 + 581 + 4 = 666.

10901230475814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10901230475814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1632161727 + ... + 1632168405.

It is an arithmetic number, because the mean of its divisors is an integer number (93230248320).

Almost surely, 2^{10901230475814} is an apocalyptic number.

10901230475814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10901230475814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916839731200).

10901230475814 is an abundant number, since it is smaller than the sum of its proper divisors (18932448986586).

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

10901230475814 is a wasteful number, since it uses less digits than its factorization.

10901230475814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10901230475814 in words is "ten trillion, nine hundred one billion, two hundred thirty million, four hundred seventy-five thousand, eight hundred fourteen".