3622258946016 has 288 divisors, whose sum is σ = 11573852209920. Its totient is φ = 1068561027072.

The previous prime is 3622258946003. The next prime is 3622258946023. The reversal of 3622258946016 is 6106498522263.

3622258946016 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 2 + 589 + 46 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6371271 + ... + 6916473.

It is an arithmetic number, because the mean of its divisors is an integer number (40186986840).

Almost surely, 2^{3622258946016} is an apocalyptic number.

3622258946016 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 3622258946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786926104960).

3622258946016 is an abundant number, since it is smaller than the sum of its proper divisors (7951593263904).

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

3622258946016 is a wasteful number, since it uses less digits than its factorization.

3622258946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545318 (or 545307 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3622258946016 in words is "three trillion, six hundred twenty-two billion, two hundred fifty-eight million, nine hundred forty-six thousand, sixteen".