190013309568000 has 4224 divisors, whose sum is σ = 787661797418496. Its totient is φ = 45482508288000.

The previous prime is 190013309567903. The next prime is 190013309568007. The reversal of 190013309568000 is 865903310091.

190013309568000 is a `hidden beast` number, since 190 + 0 + 1 + 330 + 9 + 56 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×190013309568000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (190013309568007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1386958463932 + ... + 1386958464068.

It is an arithmetic number, because the mean of its divisors is an integer number (186472963404).

Almost surely, 2^{190013309568000} is an apocalyptic number.

190013309568000 is a gapful number since it is divisible by the number (10) 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 190013309568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393830898709248).

190013309568000 is an abundant number, since it is smaller than the sum of its proper divisors (597648487850496).

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

190013309568000 is a wasteful number, since it uses less digits than its factorization.

190013309568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 190013309568000 in words is "one hundred ninety trillion, thirteen billion, three hundred nine million, five hundred sixty-eight thousand".