34166941641216 has 1120 divisors, whose sum is σ = 110376957208320. Its totient is φ = 10533261606912.

The previous prime is 34166941641169. The next prime is 34166941641227. The reversal of 34166941641216 is 61214614966143.

34166941641216 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 6 + 9 + 416 + 4 + 1 + 216 = 666.

It is a super-2 number, since 2×34166941641216² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4478976) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 83537754420 + ... + 83537754828.

Almost surely, 2^{34166941641216} is an apocalyptic number.

34166941641216 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 34166941641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55188478604160).

34166941641216 is an abundant number, since it is smaller than the sum of its proper divisors (76210015567104).

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

34166941641216 is an equidigital number, since it uses as much as digits as its factorization.

34166941641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 737 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 34166941641216 in words is "thirty-four trillion, one hundred sixty-six billion, nine hundred forty-one million, six hundred forty-one thousand, two hundred sixteen".