10214464500 has 120 divisors (see below), whose sum is σ = 33325011720. Its totient is φ = 2723846400.

The previous prime is 10214464499. The next prime is 10214464529. The reversal of 10214464500 is 546441201.

10214464500 is a `hidden beast` number, since 1 + 0 + 2 + 14 + 4 + 645 + 0 + 0 = 666.

10214464500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75585636 + 10138878864 = 8694^2 + 100692^2 .

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85605 + ... + 166604.

It is an arithmetic number, because the mean of its divisors is an integer number (277708431).

Almost surely, 2^10214464500 is an apocalyptic number.

10214464500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214464500 is an abundant number, since it is smaller than the sum of its proper divisors (23110547220).

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

10214464500 is a wasteful number, since it uses less digits than its factorization.

10214464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252240 (or 252219 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10214464500 in words is "ten billion, two hundred fourteen million, four hundred sixty-four thousand, five hundred".