199513643616 has 384 divisors, whose sum is σ = 672706944000. Its totient is φ = 56351158272.

The previous prime is 199513643599. The next prime is 199513643669. The reversal of 199513643616 is 616346315991.

199513643616 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 13 + 6 + 4 + 3 + 616 = 666.

199513643616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 63 ways as a sum of consecutive naturals, for example, 322315755 + ... + 322316373.

It is an arithmetic number, because the mean of its divisors is an integer number (1751841000).

Almost surely, 2^199513643616 is an apocalyptic number.

199513643616 is a gapful number since it is divisible by the number (16) 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 199513643616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336353472000).

199513643616 is an abundant number, since it is smaller than the sum of its proper divisors (473193300384).

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

199513643616 is a wasteful number, since it uses less digits than its factorization.

199513643616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 199513643616 in words is "one hundred ninety-nine billion, five hundred thirteen million, six hundred forty-three thousand, six hundred sixteen".