33506361161312 has 96 divisors (see below), whose sum is σ = 71804149087104. Its totient is φ = 15298373376000.

The previous prime is 33506361161311. The next prime is 33506361161353. The reversal of 33506361161312 is 21316116360533.

It is a super-2 number, since 2×33506361161312² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33506361161312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33506361161311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49283273 + ... + 49958519.

It is an arithmetic number, because the mean of its divisors is an integer number (747959886324).

Almost surely, 2^{33506361161312} is an apocalyptic number.

33506361161312 is a gapful number since it is divisible by the number (32) 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 33506361161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35902074543552).

33506361161312 is an abundant number, since it is smaller than the sum of its proper divisors (38297787925792).

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

33506361161312 is a wasteful number, since it uses less digits than its factorization.

33506361161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676552 (or 676544 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 33506361161312 in words is "thirty-three trillion, five hundred six billion, three hundred sixty-one million, one hundred sixty-one thousand, three hundred twelve".