11748247800 has 192 divisors, whose sum is σ = 38651320800. Its totient is φ = 2941747200.

The previous prime is 11748247799. The next prime is 11748247813. The reversal of 11748247800 is 874284711.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5517136 + ... + 5519264.

Almost surely, 2^11748247800 is an apocalyptic number.

11748247800 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 11748247800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19325660400).

11748247800 is an abundant number, since it is smaller than the sum of its proper divisors (26903073000).

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

11748247800 is a wasteful number, since it uses less digits than its factorization.

11748247800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 11748247800 in words is "eleven billion, seven hundred forty-eight million, two hundred forty-seven thousand, eight hundred".