33340502016 has 624 divisors, whose sum is σ = 110197127040. Its totient is φ = 10032906240.

The previous prime is 33340501993. The next prime is 33340502029. The reversal of 33340502016 is 61020504333.

It is a happy number.

It is a super-2 number, since 2×33340502016² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775360491 + ... + 775360533.

It is an arithmetic number, because the mean of its divisors is an integer number (176597960).

Almost surely, 2^33340502016 is an apocalyptic number.

33340502016 is a gapful number since it is divisible by the number (36) 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 33340502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55098563520).

33340502016 is an abundant number, since it is smaller than the sum of its proper divisors (76856625024).

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

33340502016 is an equidigital number, since it uses as much as digits as its factorization.

33340502016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 33340502016 in words is "thirty-three billion, three hundred forty million, five hundred two thousand, sixteen".