33399913968 has 120 divisors (see below), whose sum is σ = 97560786960. Its totient is φ = 10656721920.

The previous prime is 33399913907. The next prime is 33399913999. The reversal of 33399913968 is 86931999333.

It is a super-2 number, since 2×33399913968² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259543 + ... + 366281.

It is an arithmetic number, because the mean of its divisors is an integer number (813006558).

Almost surely, 2^33399913968 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 33399913968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48780393480).

33399913968 is an abundant number, since it is smaller than the sum of its proper divisors (64160872992).

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

33399913968 is a wasteful number, since it uses less digits than its factorization.

33399913968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106847 (or 106838 counting only the distinct ones).

The product of its digits is 25509168, while the sum is 63.

The spelling of 33399913968 in words is "thirty-three billion, three hundred ninety-nine million, nine hundred thirteen thousand, nine hundred sixty-eight".