199412669232000 has 2048 divisors, whose sum is σ = 853823153664000. Its totient is φ = 44801703936000.

The previous prime is 199412669231981. The next prime is 199412669232011. The reversal of 199412669232000 is 232966214991.

199412669232000 is a `hidden beast` number, since 1 + 9 + 94 + 1 + 266 + 92 + 3 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 133923887256 + ... + 133923888744.

It is an arithmetic number, because the mean of its divisors is an integer number (416905836750).

Almost surely, 2^{199412669232000} is an apocalyptic number.

199412669232000 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 199412669232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426911576832000).

199412669232000 is an abundant number, since it is smaller than the sum of its proper divisors (654410484432000).

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

199412669232000 is a wasteful number, since it uses less digits than its factorization.

199412669232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 199412669232000 in words is "one hundred ninety-nine trillion, four hundred twelve billion, six hundred sixty-nine million, two hundred thirty-two thousand".