11046085632 has 264 divisors, whose sum is σ = 33849192000. Its totient is φ = 3459760128.

The previous prime is 11046085621. The next prime is 11046085637. The reversal of 11046085632 is 23658064011.

It is a happy number.

11046085632 is a `hidden beast` number, since 1 + 10 + 4 + 6 + 0 + 8 + 5 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11046085637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34845538 + ... + 34845854.

Almost surely, 2^11046085632 is an apocalyptic number.

11046085632 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 11046085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924596000).

11046085632 is an abundant number, since it is smaller than the sum of its proper divisors (22803106368).

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

11046085632 is a wasteful number, since it uses less digits than its factorization.

11046085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11046085632 in words is "eleven billion, forty-six million, eighty-five thousand, six hundred thirty-two".