190513287164928 has 2816 divisors, whose sum is σ = 682016748134400. Its totient is φ = 46924274073600.

The previous prime is 190513287164927. The next prime is 190513287164929. The reversal of 190513287164928 is 829461782315091.

It is an interprime number because it is at equal distance from previous prime (190513287164927) and next prime (190513287164929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190513287164927) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2295340809175 + ... + 2295340809257.

It is a 2-persistent number, because it is pandigital, and so is 2⋅190513287164928 = 381026574329856, but 3⋅190513287164928 = 571539861494784 is not.

Almost surely, 2^{190513287164928} 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 190513287164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341008374067200).

190513287164928 is an abundant number, since it is smaller than the sum of its proper divisors (491503460969472).

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

190513287164928 is a wasteful number, since it uses less digits than its factorization.

190513287164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 190513287164928 in words is "one hundred ninety trillion, five hundred thirteen billion, two hundred eighty-seven million, one hundred sixty-four thousand, nine hundred twenty-eight".