33874535016 has 480 divisors, whose sum is σ = 118230552000. Its totient is φ = 8851576320.

The previous prime is 33874534937. The next prime is 33874535069. The reversal of 33874535016 is 61053547833.

33874535016 is a `hidden beast` number, since 3 + 38 + 74 + 535 + 0 + 16 = 666.

It is a super-2 number, since 2×33874535016² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82822620 + ... + 82823028.

It is an arithmetic number, because the mean of its divisors is an integer number (246313650).

Almost surely, 2^33874535016 is an apocalyptic number.

33874535016 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 33874535016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59115276000).

33874535016 is an abundant number, since it is smaller than the sum of its proper divisors (84356016984).

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

33874535016 is a wasteful number, since it uses less digits than its factorization.

33874535016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 33874535016 in words is "thirty-three billion, eight hundred seventy-four million, five hundred thirty-five thousand, sixteen".