3332305566126 has 192 divisors, whose sum is σ = 8065466405568. Its totient is φ = 989616144384.

The previous prime is 3332305566113. The next prime is 3332305566137. The reversal of 3332305566126 is 6216655032333.

It is a happy number.

3332305566126 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 30 + 556 + 61 + 2 + 6 = 666.

It is a super-2 number, since 2×3332305566126² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 125106106 + ... + 125132738.

It is an arithmetic number, because the mean of its divisors is an integer number (42007637529).

Almost surely, 2^{3332305566126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332305566126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032733202784).

3332305566126 is an abundant number, since it is smaller than the sum of its proper divisors (4733160839442).

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

3332305566126 is a wasteful number, since it uses less digits than its factorization.

3332305566126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26995 (or 26992 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 3332305566126 in words is "three trillion, three hundred thirty-two billion, three hundred five million, five hundred sixty-six thousand, one hundred twenty-six".