11748700224 has 168 divisors, whose sum is σ = 34605541152. Its totient is φ = 3808696320.

The previous prime is 11748700207. The next prime is 11748700231. The reversal of 11748700224 is 42200784711.

It is a super-3 number, since 3×11748700224³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10461327 + ... + 10462449.

It is an arithmetic number, because the mean of its divisors is an integer number (205985364).

Almost surely, 2^11748700224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11748700224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302770576).

11748700224 is an abundant number, since it is smaller than the sum of its proper divisors (22856840928).

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

11748700224 is a wasteful number, since it uses less digits than its factorization.

11748700224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 11748700224 in words is "eleven billion, seven hundred forty-eight million, seven hundred thousand, two hundred twenty-four".