33898040064 has 324 divisors, whose sum is σ = 115321948560. Its totient is φ = 9546485760.

The previous prime is 33898040051. The next prime is 33898040089. The reversal of 33898040064 is 46004089833.

33898040064 is a `hidden beast` number, since 33 + 89 + 80 + 400 + 64 = 666.

It is a super-2 number, since 2×33898040064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8013502 + ... + 8017730.

It is an arithmetic number, because the mean of its divisors is an integer number (355931940).

Almost surely, 2^33898040064 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 33898040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57660974280).

33898040064 is an abundant number, since it is smaller than the sum of its proper divisors (81423908496).

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

33898040064 is a wasteful number, since it uses less digits than its factorization.

33898040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 33898040064 in words is "thirty-three billion, eight hundred ninety-eight million, forty thousand, sixty-four".