190950801408 has 288 divisors, whose sum is σ = 573778598400. Its totient is φ = 62752555008.

The previous prime is 190950801383. The next prime is 190950801409. The reversal of 190950801408 is 804108059091.

190950801408 is a `hidden beast` number, since 190 + 9 + 50 + 8 + 0 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190950801409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279576235 + ... + 279576917.

It is an arithmetic number, because the mean of its divisors is an integer number (1992286800).

Almost surely, 2^190950801408 is an apocalyptic number.

190950801408 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 190950801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286889299200).

190950801408 is an abundant number, since it is smaller than the sum of its proper divisors (382827796992).

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

190950801408 is an frugal number, since it uses more digits than its factorization.

190950801408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 190950801408 in words is "one hundred ninety billion, nine hundred fifty million, eight hundred one thousand, four hundred eight".