33161626644480 has 1248 divisors, whose sum is σ = 121893049387200. Its totient is φ = 8645498634240.

The previous prime is 33161626644457. The next prime is 33161626644493. The reversal of 33161626644480 is 8444662616133.

It is a happy number.

33161626644480 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 1 + 62 + 66 + 44 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 95018987346 + ... + 95018987694.

It is an arithmetic number, because the mean of its divisors is an integer number (97670712650).

Almost surely, 2^{33161626644480} is an apocalyptic number.

33161626644480 is a gapful number since it is divisible by the number (30) 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 33161626644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60946524693600).

33161626644480 is an abundant number, since it is smaller than the sum of its proper divisors (88731422742720).

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

33161626644480 is an equidigital number, since it uses as much as digits as its factorization.

33161626644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 33161626644480 in words is "thirty-three trillion, one hundred sixty-one billion, six hundred twenty-six million, six hundred forty-four thousand, four hundred eighty".