33408077179968 has 336 divisors, whose sum is σ = 98955392640000. Its totient is φ = 10768055500800.

The previous prime is 33408077179927. The next prime is 33408077179987. The reversal of 33408077179968 is 86997177080433.

33408077179968 is a `hidden beast` number, since 3 + 3 + 408 + 0 + 7 + 71 + 7 + 99 + 68 = 666.

It is a super-2 number, since 2×33408077179968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 33408077179896 and 33408077179905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5084166123 + ... + 5084172693.

Almost surely, 2^{33408077179968} 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 33408077179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49477696320000).

33408077179968 is an abundant number, since it is smaller than the sum of its proper divisors (65547315460032).

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

33408077179968 is a wasteful number, since it uses less digits than its factorization.

33408077179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 33408077179968 in words is "thirty-three trillion, four hundred eight billion, seventy-seven million, one hundred seventy-nine thousand, nine hundred sixty-eight".