11729264832 has 448 divisors, whose sum is σ = 38234112000. Its totient is φ = 3511517184.

The previous prime is 11729264819. The next prime is 11729264881. The reversal of 11729264832 is 23846292711.

11729264832 is a `hidden beast` number, since 11 + 72 + 92 + 6 + 483 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92356353 + ... + 92356479.

It is an arithmetic number, because the mean of its divisors is an integer number (85344000).

Almost surely, 2^11729264832 is an apocalyptic number.

11729264832 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 11729264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117056000).

11729264832 is an abundant number, since it is smaller than the sum of its proper divisors (26504847168).

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

11729264832 is a wasteful number, since it uses less digits than its factorization.

11729264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 11729264832 in words is "eleven billion, seven hundred twenty-nine million, two hundred sixty-four thousand, eight hundred thirty-two".