11800198138632 has 128 divisors (see below), whose sum is σ = 32438575872000. Its totient is φ = 3560480478720.

The previous prime is 11800198138549. The next prime is 11800198138669. The reversal of 11800198138632 is 23683189100811.

11800198138632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11800198138632² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9026332 + ... + 10250612.

It is an arithmetic number, because the mean of its divisors is an integer number (253426374000).

Almost surely, 2^{11800198138632} is an apocalyptic number.

11800198138632 is a gapful number since it is divisible by the number (12) 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 11800198138632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16219287936000).

11800198138632 is an abundant number, since it is smaller than the sum of its proper divisors (20638377733368).

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

11800198138632 is a wasteful number, since it uses less digits than its factorization.

11800198138632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225251 (or 1225247 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 11800198138632 in words is "eleven trillion, eight hundred billion, one hundred ninety-eight million, one hundred thirty-eight thousand, six hundred thirty-two".