199370658816 has 528 divisors, whose sum is σ = 692158496640. Its totient is φ = 54066216960.

The previous prime is 199370658757. The next prime is 199370658827. The reversal of 199370658816 is 618856073991.

199370658816 is a `hidden beast` number, since 1 + 9 + 9 + 37 + 0 + 6 + 588 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114120855 + ... + 114122601.

Almost surely, 2^199370658816 is an apocalyptic number.

199370658816 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 199370658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346079248320).

199370658816 is an abundant number, since it is smaller than the sum of its proper divisors (492787837824).

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

199370658816 is a wasteful number, since it uses less digits than its factorization.

199370658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 199370658816 in words is "one hundred ninety-nine billion, three hundred seventy million, six hundred fifty-eight thousand, eight hundred sixteen".