33899316480000 has 1680 divisors, whose sum is σ = 134525714663340. Its totient is φ = 8504082432000.

The previous prime is 33899316479999. The next prime is 33899316480031. The reversal of 33899316480000 is 8461399833.

It can be written as a sum of positive squares in 10 ways, for example, as 5674152674304 + 28225163805696 = 2382048^2 + 5312736^2 .

It is a super-2 number, since 2×33899316480000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 15863038932 + ... + 15863041068.

Almost surely, 2^{33899316480000} is an apocalyptic number.

33899316480000 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 33899316480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67262857331670).

33899316480000 is an abundant number, since it is smaller than the sum of its proper divisors (100626398183340).

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

33899316480000 is an frugal number, since it uses more digits than its factorization.

33899316480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 33899316480000 in words is "thirty-three trillion, eight hundred ninety-nine billion, three hundred sixteen million, four hundred eighty thousand".