195638111136 has 768 divisors, whose sum is σ = 663286579200. Its totient is φ = 55640825856.

The previous prime is 195638111131. The next prime is 195638111143. The reversal of 195638111136 is 631111836591.

195638111136 is a `hidden beast` number, since 1 + 9 + 5 + 638 + 1 + 1 + 1 + 1 + 3 + 6 = 666.

Its product of digits (116640) is a multiple of the sum of its prime divisors (324).

It is a junction number, because it is equal to n+sod(n) for n = 195638111091 and 195638111100.

It is not an unprimeable number, because it can be changed into a prime (195638111131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1540457505 + ... + 1540457631.

It is an arithmetic number, because the mean of its divisors is an integer number (863654400).

Almost surely, 2^195638111136 is an apocalyptic number.

195638111136 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 195638111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331643289600).

195638111136 is an abundant number, since it is smaller than the sum of its proper divisors (467648468064).

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

195638111136 is a wasteful number, since it uses less digits than its factorization.

195638111136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 195638111136 in words is "one hundred ninety-five billion, six hundred thirty-eight million, one hundred eleven thousand, one hundred thirty-six".