33482113077996 has 168 divisors, whose sum is σ = 95843478140928. Its totient is φ = 10145383164000.

The previous prime is 33482113077971. The next prime is 33482113078009. The reversal of 33482113077996 is 69977031128433.

It is a happy number.

33482113077996 is a `hidden beast` number, since 3 + 3 + 48 + 211 + 307 + 79 + 9 + 6 = 666.

It is a super-2 number, since 2×33482113077996² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 621958801 + ... + 622012631.

It is an arithmetic number, because the mean of its divisors is an integer number (570496893696).

Almost surely, 2^{33482113077996} is an apocalyptic number.

33482113077996 is a gapful number since it is divisible by the number (36) 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 33482113077996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47921739070464).

33482113077996 is an abundant number, since it is smaller than the sum of its proper divisors (62361365062932).

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

33482113077996 is a wasteful number, since it uses less digits than its factorization.

33482113077996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73255 (or 73238 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 33482113077996 in words is "thirty-three trillion, four hundred eighty-two billion, one hundred thirteen million, seventy-seven thousand, nine hundred ninety-six".