199351135844640 has 1152 divisors, whose sum is σ = 766732754092032. Its totient is φ = 46833742356480.

The previous prime is 199351135844603. The next prime is 199351135844657. The reversal of 199351135844640 is 46448531153991.

199351135844640 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 5 + 1 + 1 + 3 + 584 + 4 + 6 + 40 = 666.

It is a super-2 number, since 2×199351135844640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14095385409 + ... + 14095399551.

It is an arithmetic number, because the mean of its divisors is an integer number (665566626816).

Almost surely, 2^{199351135844640} is an apocalyptic number.

199351135844640 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 199351135844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383366377046016).

199351135844640 is an abundant number, since it is smaller than the sum of its proper divisors (567381618247392).

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

199351135844640 is a wasteful number, since it uses less digits than its factorization.

199351135844640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14542 (or 14531 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 199351135844640 in words is "one hundred ninety-nine trillion, three hundred fifty-one billion, one hundred thirty-five million, eight hundred forty-four thousand, six hundred forty".