10182424464 has 75 divisors (see below), whose sum is σ = 29481408363. Its totient is φ = 3392930592.

The previous prime is 10182424453. The next prime is 10182424481. The reversal of 10182424464 is 46442428101.

The square root of 10182424464 is 100908.

It is a perfect power (a square), and thus also a powerful number.

10182424464 is a `hidden beast` number, since 10 + 182 + 4 + 2 + 4 + 464 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3631287 + ... + 3634089.

Almost surely, 2^10182424464 is an apocalyptic number.

10182424464 is the 100908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10182424464

10182424464 is an abundant number, since it is smaller than the sum of its proper divisors (19298983899).

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

10182424464 is an frugal number, since it uses more digits than its factorization.

10182424464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 10182424464 by its sum of digits (36), we get a square (366567280704 = 605448²).

10182424464 divided by its sum of digits (36) gives a square (282845124 = 16818²).

The spelling of 10182424464 in words is "ten billion, one hundred eighty-two million, four hundred twenty-four thousand, four hundred sixty-four".