190268059398144 has 1664 divisors, whose sum is σ = 681391219998720. Its totient is φ = 45807383347200.

The previous prime is 190268059398143. The next prime is 190268059398167. The reversal of 190268059398144 is 441893950862091.

It is a tau number, because it is divible by the number of its divisors (1664).

It is not an unprimeable number, because it can be changed into a prime (190268059398143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202197724714 + ... + 202197725654.

Almost surely, 2^{190268059398144} is an apocalyptic number.

190268059398144 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 190268059398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340695609999360).

190268059398144 is an abundant number, since it is smaller than the sum of its proper divisors (491123160600576).

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

190268059398144 is a wasteful number, since it uses less digits than its factorization.

190268059398144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 190268059398144 in words is "one hundred ninety trillion, two hundred sixty-eight billion, fifty-nine million, three hundred ninety-eight thousand, one hundred forty-four".