199914767712 has 240 divisors, whose sum is σ = 655044268032. Its totient is φ = 59290894080.

The previous prime is 199914767707. The next prime is 199914767713. The reversal of 199914767712 is 217767419991.

199914767712 is a `hidden beast` number, since 1 + 9 + 9 + 91 + 476 + 7 + 71 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199914767712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199914767713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1265473 + ... + 1414655.

Almost surely, 2^199914767712 is an apocalyptic number.

199914767712 is a gapful number since it is divisible by the number (12) 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 199914767712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327522134016).

199914767712 is an abundant number, since it is smaller than the sum of its proper divisors (455129500320).

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

199914767712 is a wasteful number, since it uses less digits than its factorization.

199914767712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149263 (or 149246 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 63.

The spelling of 199914767712 in words is "one hundred ninety-nine billion, nine hundred fourteen million, seven hundred sixty-seven thousand, seven hundred twelve".