33468978816 has 768 divisors, whose sum is σ = 129321964800. Its totient is φ = 8430428160.

The previous prime is 33468978737. The next prime is 33468978877. The reversal of 33468978816 is 61887986433.

33468978816 is a `hidden beast` number, since 3 + 3 + 468 + 97 + 8 + 81 + 6 = 666.

It is a super-3 number, since 3×33468978816³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50633526 + ... + 50634186.

It is an arithmetic number, because the mean of its divisors is an integer number (168387975).

Almost surely, 2^33468978816 is an apocalyptic number.

33468978816 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 33468978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64660982400).

33468978816 is an abundant number, since it is smaller than the sum of its proper divisors (95852985984).

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

33468978816 is a wasteful number, since it uses less digits than its factorization.

33468978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 709 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 33468978816 in words is "thirty-three billion, four hundred sixty-eight million, nine hundred seventy-eight thousand, eight hundred sixteen".