33366122496 has 336 divisors, whose sum is σ = 116664784704. Its totient is φ = 8970043392.

The previous prime is 33366122437. The next prime is 33366122507. The reversal of 33366122496 is 69422166333.

33366122496 is a `hidden beast` number, since 3 + 3 + 3 + 6 + 612 + 24 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×33366122496² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8771731 + ... + 8775533.

Almost surely, 2^33366122496 is an apocalyptic number.

33366122496 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 33366122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58332392352).

33366122496 is an abundant number, since it is smaller than the sum of its proper divisors (83298662208).

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

33366122496 is a wasteful number, since it uses less digits than its factorization.

33366122496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3832 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 33366122496 in words is "thirty-three billion, three hundred sixty-six million, one hundred twenty-two thousand, four hundred ninety-six".