11562972048 has 160 divisors (see below), whose sum is σ = 33597849600. Its totient is φ = 3807264384.

The previous prime is 11562972041. The next prime is 11562972053. The reversal of 11562972048 is 84027926511.

11562972048 is a `hidden beast` number, since 1 + 15 + 629 + 7 + 2 + 0 + 4 + 8 = 666.

It is a super-3 number, since 3×11562972048³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11562971994 and 11562972012.

It is not an unprimeable number, because it can be changed into a prime (11562972041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22987765 + ... + 22988267.

It is an arithmetic number, because the mean of its divisors is an integer number (209986560).

Almost surely, 2^11562972048 is an apocalyptic number.

11562972048 is a gapful number since it is divisible by the number (18) 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 11562972048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798924800).

11562972048 is an abundant number, since it is smaller than the sum of its proper divisors (22034877552).

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

11562972048 is a wasteful number, since it uses less digits than its factorization.

11562972048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11562972048 in words is "eleven billion, five hundred sixty-two million, nine hundred seventy-two thousand, forty-eight".