33786959420016 has 960 divisors, whose sum is σ = 111870444833280. Its totient is φ = 9673468416000.

The previous prime is 33786959419897. The next prime is 33786959420017. The reversal of 33786959420016 is 61002495968733.

33786959420016 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 6 + 9 + 594 + 20 + 0 + 16 = 666.

It is a super-2 number, since 2×33786959420016² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33786959420017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207281959551 + ... + 207281959713.

It is an arithmetic number, because the mean of its divisors is an integer number (116531713368).

It is a 2-persistent number, because it is pandigital, and so is 2⋅33786959420016 = 67573918840032, but 3⋅33786959420016 = 101360878260048 is not.

Almost surely, 2^{33786959420016} is an apocalyptic number.

33786959420016 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 33786959420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55935222416640).

33786959420016 is an abundant number, since it is smaller than the sum of its proper divisors (78083485413264).

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

33786959420016 is a wasteful number, since it uses less digits than its factorization.

33786959420016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 33786959420016 in words is "thirty-three trillion, seven hundred eighty-six billion, nine hundred fifty-nine million, four hundred twenty thousand, sixteen".