33383196672 has 480 divisors, whose sum is σ = 108644739840. Its totient is φ = 9103933440.

The previous prime is 33383196661. The next prime is 33383196697. The reversal of 33383196672 is 27669138333.

It is a super-3 number, since 3×33383196672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 457304028 + ... + 457304100.

It is an arithmetic number, because the mean of its divisors is an integer number (226343208).

Almost surely, 2^33383196672 is an apocalyptic number.

33383196672 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 33383196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54322369920).

33383196672 is an abundant number, since it is smaller than the sum of its proper divisors (75261543168).

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

33383196672 is an frugal number, since it uses more digits than its factorization.

33383196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 116 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 51.

It can be divided in two parts, 3338319 and 6672, that added together give a triangular number (3344991 = T₂₅₈₆).

The spelling of 33383196672 in words is "thirty-three billion, three hundred eighty-three million, one hundred ninety-six thousand, six hundred seventy-two".