190358140400064 has 672 divisors, whose sum is σ = 715301947616256. Its totient is φ = 46968170250240.

The previous prime is 190358140400053. The next prime is 190358140400083. The reversal of 190358140400064 is 460004041853091.

190358140400064 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 581 + 4 + 0 + 4 + 0 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 190358140399992 and 190358140400019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148169419 + ... + 149448629.

It is an arithmetic number, because the mean of its divisors is an integer number (1064437422048).

Almost surely, 2^{190358140400064} is an apocalyptic number.

190358140400064 is a gapful number since it is divisible by the number (14) 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 190358140400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357650973808128).

190358140400064 is an abundant number, since it is smaller than the sum of its proper divisors (524943807216192).

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

190358140400064 is a wasteful number, since it uses less digits than its factorization.

190358140400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279433 (or 1279420 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 190358140400064 in words is "one hundred ninety trillion, three hundred fifty-eight billion, one hundred forty million, four hundred thousand, sixty-four".