33525425664 has 400 divisors, whose sum is σ = 104809541760. Its totient is φ = 10656645120.

The previous prime is 33525425641. The next prime is 33525425677. The reversal of 33525425664 is 46652452533.

33525425664 is a `hidden beast` number, since 3 + 3 + 52 + 542 + 56 + 6 + 4 = 666.

It is a super-2 number, since 2×33525425664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114421102 + ... + 114421394.

Almost surely, 2^33525425664 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 33525425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52404770880).

33525425664 is an abundant number, since it is smaller than the sum of its proper divisors (71284116096).

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

33525425664 is an equidigital number, since it uses as much as digits as its factorization.

33525425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 418 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 33525425664 in words is "thirty-three billion, five hundred twenty-five million, four hundred twenty-five thousand, six hundred sixty-four".