33618947781664 has 288 divisors, whose sum is σ = 79825352753664. Its totient is φ = 13887905955840.

The previous prime is 33618947781649. The next prime is 33618947781721. The reversal of 33618947781664 is 46618774981633.

It is a super-2 number, since 2×33618947781664² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5739957424 + ... + 5739963280.

It is an arithmetic number, because the mean of its divisors is an integer number (277171363728).

Almost surely, 2^{33618947781664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33618947781664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39912676376832).

33618947781664 is an abundant number, since it is smaller than the sum of its proper divisors (46206404972000).

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

33618947781664 is a wasteful number, since it uses less digits than its factorization.

33618947781664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7081 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 73.

The spelling of 33618947781664 in words is "thirty-three trillion, six hundred eighteen billion, nine hundred forty-seven million, seven hundred eighty-one thousand, six hundred sixty-four".