190553840064 has 280 divisors, whose sum is σ = 673626336768. Its totient is φ = 52076597760.

The previous prime is 190553840033. The next prime is 190553840083. The reversal of 190553840064 is 460048355091.

190553840064 is a `hidden beast` number, since 1 + 90 + 553 + 8 + 4 + 0 + 0 + 6 + 4 = 666.

190553840064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 720469 + ... + 948779.

Almost surely, 2^190553840064 is an apocalyptic number.

190553840064 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 190553840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336813168384).

190553840064 is an abundant number, since it is smaller than the sum of its proper divisors (483072496704).

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

190553840064 is a wasteful number, since it uses less digits than its factorization.

190553840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228365 (or 228346 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 190553840064 in words is "one hundred ninety billion, five hundred fifty-three million, eight hundred forty thousand, sixty-four".