11248498800 has 1620 divisors, whose sum is σ = 54552633408. Its totient is φ = 2128896000.

The previous prime is 11248498787. The next prime is 11248498879. The reversal of 11248498800 is 889484211.

11248498800 is a `hidden beast` number, since 1 + 1 + 2 + 484 + 98 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 362854785 + ... + 362854815.

Almost surely, 2^11248498800 is an apocalyptic number.

11248498800 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 11248498800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276316704).

11248498800 is an abundant number, since it is smaller than the sum of its proper divisors (43304134608).

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

11248498800 is a wasteful number, since it uses less digits than its factorization.

11248498800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 11248498800 in words is "eleven billion, two hundred forty-eight million, four hundred ninety-eight thousand, eight hundred".