1433166493122 has 192 divisors, whose sum is σ = 4044428962560. Its totient is φ = 372799542528.

The previous prime is 1433166493117. The next prime is 1433166493127. The reversal of 1433166493122 is 2213946613341.

1433166493122 is a `hidden beast` number, since 1 + 4 + 3 + 31 + 6 + 6 + 493 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (1433166493117) and next prime (1433166493127).

It is a super-2 number, since 2×1433166493122² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1433166493127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2225683 + ... + 2796425.

It is an arithmetic number, because the mean of its divisors is an integer number (21064734180).

Almost surely, 2^{1433166493122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1433166493122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022214481280).

1433166493122 is an abundant number, since it is smaller than the sum of its proper divisors (2611262469438).

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

1433166493122 is a wasteful number, since it uses less digits than its factorization.

1433166493122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570854 (or 570841 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 1433166493122 in words is "one trillion, four hundred thirty-three billion, one hundred sixty-six million, four hundred ninety-three thousand, one hundred twenty-two".