190058017968 has 240 divisors, whose sum is σ = 658821124416. Its totient is φ = 49805383680.

The previous prime is 190058017949. The next prime is 190058018057. The reversal of 190058017968 is 869710850091.

It is a super-3 number, since 3×190058017968³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2011138 + ... + 2103518.

Almost surely, 2^190058017968 is an apocalyptic number.

190058017968 is a gapful number since it is divisible by the number (18) 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 190058017968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329410562208).

190058017968 is an abundant number, since it is smaller than the sum of its proper divisors (468763106448).

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

190058017968 is a wasteful number, since it uses less digits than its factorization.

190058017968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92572 (or 92563 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 190058017968 in words is "one hundred ninety billion, fifty-eight million, seventeen thousand, nine hundred sixty-eight".