199434133962 has 160 divisors (see below), whose sum is σ = 522405531648. Its totient is φ = 55681284384.

The previous prime is 199434133919. The next prime is 199434133963. The reversal of 199434133962 is 269331434991.

199434133962 is a `hidden beast` number, since 1 + 99 + 434 + 1 + 33 + 96 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 199434133899 and 199434133908.

It is not an unprimeable number, because it can be changed into a prime (199434133963) 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, 38745073 + ... + 38750219.

Almost surely, 2^199434133962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199434133962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261202765824).

199434133962 is an abundant number, since it is smaller than the sum of its proper divisors (322971397686).

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

199434133962 is a wasteful number, since it uses less digits than its factorization.

199434133962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5933 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 199434133962 in words is "one hundred ninety-nine billion, four hundred thirty-four million, one hundred thirty-three thousand, nine hundred sixty-two".