11232892412352 has 504 divisors, whose sum is σ = 38294995190400. Its totient is φ = 3131989825536.

The previous prime is 11232892412321. The next prime is 11232892412369. The reversal of 11232892412352 is 25321429823211.

11232892412352 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 289 + 2 + 4 + 12 + 352 = 666.

11232892412352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11232892412298 and 11232892412307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42407299 + ... + 42671357.

Almost surely, 2^{11232892412352} is an apocalyptic number.

11232892412352 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 11232892412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19147497595200).

11232892412352 is an abundant number, since it is smaller than the sum of its proper divisors (27062102778048).

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

11232892412352 is a wasteful number, since it uses less digits than its factorization.

11232892412352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264145 (or 264119 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 11232892412352 in words is "eleven trillion, two hundred thirty-two billion, eight hundred ninety-two million, four hundred twelve thousand, three hundred fifty-two".