191651328400 has 405 divisors, whose sum is σ = 555322817091. Its totient is φ = 63376535040.

The previous prime is 191651328397. The next prime is 191651328461. The reversal of 191651328400 is 4823156191.

The square root of 191651328400 is 437780.

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

191651328400 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 1443696016 + 190207632384 = 37996^2 + 436128^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 80 ways as a sum of consecutive naturals, for example, 3248327571 + ... + 3248327629.

Almost surely, 2^191651328400 is an apocalyptic number.

191651328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

191651328400 is the 437780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191651328400

191651328400 is an abundant number, since it is smaller than the sum of its proper divisors (363671488691).

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

191651328400 is an equidigital number, since it uses as much as digits as its factorization.

191651328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 191651328400 in words is "one hundred ninety-one billion, six hundred fifty-one million, three hundred twenty-eight thousand, four hundred".