11613071232 has 384 divisors, whose sum is σ = 39571234560. Its totient is φ = 3200311296.

The previous prime is 11613071221. The next prime is 11613071233. The reversal of 11613071232 is 23217031611.

11613071232 is a `hidden beast` number, since 1 + 1 + 613 + 0 + 7 + 12 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 11613071196 and 11613071205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11613071233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37102308 + ... + 37102620.

It is an arithmetic number, because the mean of its divisors is an integer number (103050090).

Almost surely, 2^11613071232 is an apocalyptic number.

11613071232 is a gapful number since it is divisible by the number (12) 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 11613071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785617280).

11613071232 is an abundant number, since it is smaller than the sum of its proper divisors (27958163328).

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

11613071232 is a wasteful number, since it uses less digits than its factorization.

11613071232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 11613071232 in words is "eleven billion, six hundred thirteen million, seventy-one thousand, two hundred thirty-two".