11948332032 has 440 divisors, whose sum is σ = 43941655296. Its totient is φ = 3149217792.

The previous prime is 11948332027. The next prime is 11948332043. The reversal of 11948332032 is 23023384911.

11948332032 is a `hidden beast` number, since 119 + 483 + 32 + 0 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7547113 + ... + 7548695.

Almost surely, 2^11948332032 is an apocalyptic number.

11948332032 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 11948332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970827648).

11948332032 is an abundant number, since it is smaller than the sum of its proper divisors (31993323264).

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

11948332032 is a wasteful number, since it uses less digits than its factorization.

11948332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11948332032 in words is "eleven billion, nine hundred forty-eight million, three hundred thirty-two thousand, thirty-two".