33413897088 has 640 divisors, whose sum is σ = 120758077440. Its totient is φ = 9032601600.

The previous prime is 33413897087. The next prime is 33413897089. The reversal of 33413897088 is 88079831433.

33413897088 is a `hidden beast` number, since 3 + 3 + 413 + 89 + 70 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (33413897087) and next prime (33413897089).

It is a super-2 number, since 2×33413897088² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413897087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45960981 + ... + 45961707.

It is an arithmetic number, because the mean of its divisors is an integer number (188684496).

Almost surely, 2^33413897088 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 33413897088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60379038720).

33413897088 is an abundant number, since it is smaller than the sum of its proper divisors (87344180352).

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

33413897088 is a wasteful number, since it uses less digits than its factorization.

33413897088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 33413897088 in words is "thirty-three billion, four hundred thirteen million, eight hundred ninety-seven thousand, eighty-eight".