11249846400 has 384 divisors, whose sum is σ = 40319294400. Its totient is φ = 2740469760.

The previous prime is 11249846389. The next prime is 11249846423. The reversal of 11249846400 is 464894211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13602787 + ... + 13603613.

Almost surely, 2^11249846400 is an apocalyptic number.

11249846400 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 11249846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20159647200).

11249846400 is an abundant number, since it is smaller than the sum of its proper divisors (29069448000).

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

11249846400 is a wasteful number, since it uses less digits than its factorization.

11249846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 11249846400 in words is "eleven billion, two hundred forty-nine million, eight hundred forty-six thousand, four hundred".