33398790912 has 504 divisors, whose sum is σ = 108094307328. Its totient is φ = 10264320000.

The previous prime is 33398790899. The next prime is 33398790923. The reversal of 33398790912 is 21909789333.

It is a super-2 number, since 2×33398790912² (a number of 22 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 55 ways as a sum of consecutive naturals, for example, 133062787 + ... + 133063037.

It is an arithmetic number, because the mean of its divisors is an integer number (214472832).

Almost surely, 2^33398790912 is an apocalyptic number.

33398790912 is a gapful number since it is divisible by the number (32) 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 33398790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54047153664).

33398790912 is an abundant number, since it is smaller than the sum of its proper divisors (74695516416).

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

33398790912 is an equidigital number, since it uses as much as digits as its factorization.

33398790912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 33398790912 in words is "thirty-three billion, three hundred ninety-eight million, seven hundred ninety thousand, nine hundred twelve".