10214908704 has 960 divisors, whose sum is σ = 41964797952. Its totient is φ = 2351462400.

The previous prime is 10214908703. The next prime is 10214908727. The reversal of 10214908704 is 40780941201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10214908703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80432289 + ... + 80432415.

Almost surely, 2^10214908704 is an apocalyptic number.

10214908704 is a gapful number since it is divisible by the number (14) 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 10214908704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20982398976).

10214908704 is an abundant number, since it is smaller than the sum of its proper divisors (31749889248).

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

10214908704 is a wasteful number, since it uses less digits than its factorization.

10214908704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10214908704 in words is "ten billion, two hundred fourteen million, nine hundred eight thousand, seven hundred four".