10214594460 has 144 divisors (see below), whose sum is σ = 35754840576. Its totient is φ = 2312067456.

The previous prime is 10214594399. The next prime is 10214594473. The reversal of 10214594460 is 6449541201.

10214594460 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 594 + 4 + 60 = 666.

10214594460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 90427 + ... + 169133.

It is an arithmetic number, because the mean of its divisors is an integer number (248297504).

Almost surely, 2^10214594460 is an apocalyptic number.

10214594460 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 10214594460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877420288).

10214594460 is an abundant number, since it is smaller than the sum of its proper divisors (25540246116).

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

10214594460 is a wasteful number, since it uses less digits than its factorization.

10214594460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78832 (or 78827 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10214594460 in words is "ten billion, two hundred fourteen million, five hundred ninety-four thousand, four hundred sixty".