190313190000 has 600 divisors, whose sum is σ = 684754870800. Its totient is φ = 49310208000.

The previous prime is 190313189999. The next prime is 190313190049. The reversal of 190313190000 is 91313091.

It is a Cunningham number, because it is equal to 436249²-1.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×190313190000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 545309826 + ... + 545310174.

It is an arithmetic number, because the mean of its divisors is an integer number (1141258118).

Almost surely, 2^190313190000 is an apocalyptic number.

190313190000 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 190313190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342377435400).

190313190000 is an abundant number, since it is smaller than the sum of its proper divisors (494441680800).

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

190313190000 is a wasteful number, since it uses less digits than its factorization.

190313190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The spelling of 190313190000 in words is "one hundred ninety billion, three hundred thirteen million, one hundred ninety thousand".