190246864084992 has 1792 divisors, whose sum is σ = 697976823398400. Its totient is φ = 50388121681920.

The previous prime is 190246864084939. The next prime is 190246864084997. The reversal of 190246864084992 is 299480468642091.

190246864084992 is a `hidden beast` number, since 1 + 90 + 2 + 4 + 6 + 8 + 6 + 40 + 8 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 190246864084992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190246864084997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74929838859 + ... + 74929841397.

It is an arithmetic number, because the mean of its divisors is an integer number (389495995200).

Almost surely, 2^{190246864084992} is an apocalyptic number.

190246864084992 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 190246864084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348988411699200).

190246864084992 is an abundant number, since it is smaller than the sum of its proper divisors (507729959313408).

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

190246864084992 is a wasteful number, since it uses less digits than its factorization.

190246864084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 190246864084992 in words is "one hundred ninety trillion, two hundred forty-six billion, eight hundred sixty-four million, eighty-four thousand, nine hundred ninety-two".