11343906376800 has 432 divisors, whose sum is σ = 39249135988272. Its totient is φ = 2845288857600.

The previous prime is 11343906376793. The next prime is 11343906376807. The reversal of 11343906376800 is 867360934311.

It is an interprime number because it is at equal distance from previous prime (11343906376793) and next prime (11343906376807).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343906376807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340724570 + ... + 1340733030.

Almost surely, 2^{11343906376800} is an apocalyptic number.

11343906376800 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 11343906376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624567994136).

11343906376800 is an abundant number, since it is smaller than the sum of its proper divisors (27905229611472).

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

11343906376800 is a wasteful number, since it uses less digits than its factorization.

11343906376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451 (or 10421 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 11343906376800 in words is "eleven trillion, three hundred forty-three billion, nine hundred six million, three hundred seventy-six thousand, eight hundred".