11247682464 has 192 divisors, whose sum is σ = 33301497600. Its totient is φ = 3693072384.

The previous prime is 11247682447. The next prime is 11247682507. The reversal of 11247682464 is 46428674211.

11247682464 is a `hidden beast` number, since 1 + 124 + 7 + 68 + 2 + 464 = 666.

It is a super-2 number, since 2×11247682464² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19767172 + ... + 19767740.

It is an arithmetic number, because the mean of its divisors is an integer number (173445300).

Almost surely, 2^11247682464 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 11247682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16650748800).

11247682464 is an abundant number, since it is smaller than the sum of its proper divisors (22053815136).

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

11247682464 is a wasteful number, since it uses less digits than its factorization.

11247682464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 11247682464 in words is "eleven billion, two hundred forty-seven million, six hundred eighty-two thousand, four hundred sixty-four".