33825388066416 has 50 divisors (see below), whose sum is σ = 97900486606472. Its totient is φ = 11275129355040.

The previous prime is 33825388066403. The next prime is 33825388066429. The reversal of 33825388066416 is 61466088352833.

33825388066416 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 538 + 80 + 6 + 6 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (33825388066403) and next prime (33825388066429).

It is a super-2 number, since 2×33825388066416² (a number of 28 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 9 ways as a sum of consecutive naturals, for example, 13049916940 + ... + 13049919531.

Almost surely, 2^{33825388066416} is an apocalyptic number.

33825388066416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33825388066416 is an abundant number, since it is smaller than the sum of its proper divisors (64075098540056).

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

33825388066416 is a wasteful number, since it uses less digits than its factorization.

33825388066416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26099836491 (or 26099836476 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 33825388066416 in words is "thirty-three trillion, eight hundred twenty-five billion, three hundred eighty-eight million, sixty-six thousand, four hundred sixteen".