190664368128 has 840 divisors, whose sum is σ = 661404777264. Its totient is φ = 54305095680.

The previous prime is 190664368127. The next prime is 190664368249. The reversal of 190664368128 is 821863466091.

190664368128 is a `hidden beast` number, since 190 + 6 + 6 + 436 + 8 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190664368127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6150463473 + ... + 6150463503.

Almost surely, 2^190664368128 is an apocalyptic number.

190664368128 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 190664368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330702388632).

190664368128 is an abundant number, since it is smaller than the sum of its proper divisors (470740409136).

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

190664368128 is an equidigital number, since it uses as much as digits as its factorization.

190664368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 190664368128 in words is "one hundred ninety billion, six hundred sixty-four million, three hundred sixty-eight thousand, one hundred twenty-eight".