3455244225216 has 1008 divisors, whose sum is σ = 12336585610752. Its totient is φ = 903953571840.

The previous prime is 3455244225187. The next prime is 3455244225221. The reversal of 3455244225216 is 6125224425543.

3455244225216 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 2 + 4 + 422 + 5 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3455244225216² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12209343411 + ... + 12209343693.

Almost surely, 2^{3455244225216} is an apocalyptic number.

3455244225216 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 3455244225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168292805376).

3455244225216 is an abundant number, since it is smaller than the sum of its proper divisors (8881341385536).

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

3455244225216 is a wasteful number, since it uses less digits than its factorization.

3455244225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 486 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 3455244225216 in words is "three trillion, four hundred fifty-five billion, two hundred forty-four million, two hundred twenty-five thousand, two hundred sixteen".