11842146500800 has 504 divisors, whose sum is σ = 37011381410160. Its totient is φ = 3687725260800.

The previous prime is 11842146500777. The next prime is 11842146500827. The reversal of 11842146500800 is 800564124811.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1059884014 + ... + 1059895186.

Almost surely, 2^{11842146500800} is an apocalyptic number.

11842146500800 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 11842146500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505690705080).

11842146500800 is an abundant number, since it is smaller than the sum of its proper divisors (25169234909360).

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

11842146500800 is a wasteful number, since it uses less digits than its factorization.

11842146500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 11842146500800 in words is "eleven trillion, eight hundred forty-two billion, one hundred forty-six million, five hundred thousand, eight hundred".