190984830368256 has 360 divisors, whose sum is σ = 595124679793644. Its totient is φ = 58934541680640.

The previous prime is 190984830368249. The next prime is 190984830368303. The reversal of 190984830368256 is 652863038489091.

It is a happy number.

190984830368256 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 8 + 4 + 8 + 3 + 0 + 368 + 256 = 666.

190984830368256 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 88099999545600 + 102884830822656 = 9386160^2 + 10143216^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80058916 + ... + 82409948.

Almost surely, 2^{190984830368256} is an apocalyptic number.

190984830368256 is a gapful number since it is divisible by the number (16) 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 190984830368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297562339896822).

190984830368256 is an abundant number, since it is smaller than the sum of its proper divisors (404139849425388).

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

190984830368256 is a wasteful number, since it uses less digits than its factorization.

190984830368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351152 (or 2351116 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 190984830368256 in words is "one hundred ninety trillion, nine hundred eighty-four billion, eight hundred thirty million, three hundred sixty-eight thousand, two hundred fifty-six".