199064401614720 has 640 divisors, whose sum is σ = 732824353245600. Its totient is φ = 51457004421120.

The previous prime is 199064401614703. The next prime is 199064401614721. The reversal of 199064401614720 is 27416104460991.

It is a happy number.

199064401614720 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 6 + 4 + 4 + 0 + 161 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199064401614721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 515770615 + ... + 516156425.

Almost surely, 2^{199064401614720} is an apocalyptic number.

199064401614720 is a gapful number since it is divisible by the number (10) 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 199064401614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366412176622800).

199064401614720 is an abundant number, since it is smaller than the sum of its proper divisors (533759951630880).

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

199064401614720 is a wasteful number, since it uses less digits than its factorization.

199064401614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386148 (or 386127 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 199064401614720 in words is "one hundred ninety-nine trillion, sixty-four billion, four hundred one million, six hundred fourteen thousand, seven hundred twenty".