199631038464 has 1152 divisors, whose sum is σ = 734080838400. Its totient is φ = 51385466880.

The previous prime is 199631038463. The next prime is 199631038531. The reversal of 199631038464 is 464830136991.

199631038464 is a `hidden beast` number, since 1 + 99 + 63 + 1 + 0 + 38 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 199631038464.

It is not an unprimeable number, because it can be changed into a prime (199631038463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2243045332 + ... + 2243045420.

It is an arithmetic number, because the mean of its divisors is an integer number (637222950).

Almost surely, 2^199631038464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199631038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367040419200).

199631038464 is an abundant number, since it is smaller than the sum of its proper divisors (534449799936).

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

199631038464 is a wasteful number, since it uses less digits than its factorization.

199631038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 199631038464 in words is "one hundred ninety-nine billion, six hundred thirty-one million, thirty-eight thousand, four hundred sixty-four".