190087014768 has 240 divisors, whose sum is σ = 631132819200. Its totient is φ = 48893171712.

The previous prime is 190087014727. The next prime is 190087014779. The reversal of 190087014768 is 867410780091.

190087014768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×190087014768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 190087014768.

It is a congruent number.

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, 816283 + ... + 1022981.

It is an arithmetic number, because the mean of its divisors is an integer number (2629720080).

Almost surely, 2^190087014768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190087014768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315566409600).

190087014768 is an abundant number, since it is smaller than the sum of its proper divisors (441045804432).

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

190087014768 is a wasteful number, since it uses less digits than its factorization.

190087014768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206764 (or 206751 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 190087014768 in words is "one hundred ninety billion, eighty-seven million, fourteen thousand, seven hundred sixty-eight".