33662622416016 has 160 divisors (see below), whose sum is σ = 99924511564800. Its totient is φ = 9657707466240.

The previous prime is 33662622415979. The next prime is 33662622416041. The reversal of 33662622416016 is 61061422626633.

It is a super-2 number, since 2×33662622416016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14563710 + ... + 16716066.

It is an arithmetic number, because the mean of its divisors is an integer number (624528197280).

Almost surely, 2^{33662622416016} 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 33662622416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49962255782400).

33662622416016 is an abundant number, since it is smaller than the sum of its proper divisors (66261889148784).

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

33662622416016 is a wasteful number, since it uses less digits than its factorization.

33662622416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153957 (or 2153951 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 33662622416016 in words is "thirty-three trillion, six hundred sixty-two billion, six hundred twenty-two million, four hundred sixteen thousand, sixteen".