199143964656 has 720 divisors, whose sum is σ = 739486107360. Its totient is φ = 49502638080.

The previous prime is 199143964639. The next prime is 199143964697. The reversal of 199143964656 is 656469341991.

199143964656 is a `hidden beast` number, since 1 + 9 + 91 + 439 + 64 + 6 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 199143964593 and 199143964602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114383946 + ... + 114385686.

It is an arithmetic number, because the mean of its divisors is an integer number (1027064038).

Almost surely, 2^199143964656 is an apocalyptic number.

199143964656 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 199143964656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369743053680).

199143964656 is an abundant number, since it is smaller than the sum of its proper divisors (540342142704).

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

199143964656 is a wasteful number, since it uses less digits than its factorization.

199143964656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1838 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 199143964656 in words is "one hundred ninety-nine billion, one hundred forty-three million, nine hundred sixty-four thousand, six hundred fifty-six".