33877268947116 has 288 divisors, whose sum is σ = 102935566755840. Its totient is φ = 9541964001024.

The previous prime is 33877268947097. The next prime is 33877268947121. The reversal of 33877268947116 is 61174986277833.

33877268947116 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 72 + 6 + 89 + 471 + 1 + 6 = 666.

It is a super-2 number, since 2×33877268947116² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350949690 + ... + 351046206.

Almost surely, 2^{33877268947116} is an apocalyptic number.

33877268947116 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 33877268947116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51467783377920).

33877268947116 is an abundant number, since it is smaller than the sum of its proper divisors (69058297808724).

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

33877268947116 is a wasteful number, since it uses less digits than its factorization.

33877268947116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97275 (or 97261 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 33877268947116 in words is "thirty-three trillion, eight hundred seventy-seven billion, two hundred sixty-eight million, nine hundred forty-seven thousand, one hundred sixteen".