190953268324 has 99 divisors (see below), whose sum is σ = 422159259417. Its totient is φ = 75541952304.

The previous prime is 190953268279. The next prime is 190953268393. The reversal of 190953268324 is 423862359091.

The square root of 190953268324 is 436982.

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

190953268324 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 only one way, i.e., 28247524900 + 162705743424 = 168070^2 + 403368^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 14688712942 + ... + 14688712954.

Almost surely, 2^190953268324 is an apocalyptic number.

190953268324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

190953268324 is the 436982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190953268324

190953268324 is an abundant number, since it is smaller than the sum of its proper divisors (231205991093).

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

190953268324 is an frugal number, since it uses more digits than its factorization.

190953268324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 190953268324 in words is "one hundred ninety billion, nine hundred fifty-three million, two hundred sixty-eight thousand, three hundred twenty-four".