11341198800 has 840 divisors, whose sum is σ = 45376113600. Its totient is φ = 2709780480.

The previous prime is 11341198793. The next prime is 11341198837. The reversal of 11341198800 is 889114311.

It is a super-2 number, since 2×11341198800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 127429156 + ... + 127429244.

Almost surely, 2^11341198800 is an apocalyptic number.

11341198800 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 11341198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22688056800).

11341198800 is an abundant number, since it is smaller than the sum of its proper divisors (34034914800).

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

11341198800 is a wasteful number, since it uses less digits than its factorization.

11341198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11341198800 in words is "eleven billion, three hundred forty-one million, one hundred ninety-eight thousand, eight hundred".