3318694281216 has 560 divisors, whose sum is σ = 10498207071000. Its totient is φ = 1045715484672.

The previous prime is 3318694281143. The next prime is 3318694281241. The reversal of 3318694281216 is 6121824968133.

It is a happy number.

3318694281216 is a `hidden beast` number, since 3 + 31 + 8 + 69 + 428 + 121 + 6 = 666.

It is a super-2 number, since 2×3318694281216² (a number of 26 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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7261912860 + ... + 7261913316.

Almost surely, 2^{3318694281216} is an apocalyptic number.

3318694281216 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 3318694281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249103535500).

3318694281216 is an abundant number, since it is smaller than the sum of its proper divisors (7179512789784).

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

3318694281216 is an frugal number, since it uses more digits than its factorization.

3318694281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 481 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 3318694281216 in words is "three trillion, three hundred eighteen billion, six hundred ninety-four million, two hundred eighty-one thousand, two hundred sixteen".