1921964730192 has 300 divisors, whose sum is σ = 6091282884060. Its totient is φ = 584723183616.

The previous prime is 1921964730163. The next prime is 1921964730239. The reversal of 1921964730192 is 2910374691291.

1921964730192 is a `hidden beast` number, since 192 + 1 + 9 + 64 + 7 + 301 + 92 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53100750096 + 1868863980096 = 230436^2 + 1367064^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19443838 + ... + 19542434.

Almost surely, 2^{1921964730192} is an apocalyptic number.

1921964730192 is a gapful number since it is divisible by the number (12) 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 1921964730192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045641442030).

1921964730192 is an abundant number, since it is smaller than the sum of its proper divisors (4169318153868).

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

1921964730192 is a wasteful number, since it uses less digits than its factorization.

1921964730192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98732 (or 98704 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1921964730192 in words is "one trillion, nine hundred twenty-one billion, nine hundred sixty-four million, seven hundred thirty thousand, one hundred ninety-two".