11461612632 has 64 divisors (see below), whose sum is σ = 29980558080. Its totient is φ = 3644564352.

The previous prime is 11461612597. The next prime is 11461612661. The reversal of 11461612632 is 23621616411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11461612593 and 11461612602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178063 + ... + 233729.

It is an arithmetic number, because the mean of its divisors is an integer number (468446220).

Almost surely, 2^11461612632 is an apocalyptic number.

11461612632 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 11461612632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990279040).

11461612632 is an abundant number, since it is smaller than the sum of its proper divisors (18518945448).

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

11461612632 is a wasteful number, since it uses less digits than its factorization.

11461612632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56072 (or 56068 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The spelling of 11461612632 in words is "eleven billion, four hundred sixty-one million, six hundred twelve thousand, six hundred thirty-two".