1626164822016 has 432 divisors, whose sum is σ = 5479837272000. Its totient is φ = 464502915072.

The previous prime is 1626164821907. The next prime is 1626164822021. The reversal of 1626164822016 is 6102284616261.

It is a happy number.

1626164822016 is a `hidden beast` number, since 1 + 6 + 2 + 616 + 4 + 8 + 2 + 20 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404617255 + ... + 404621273.

It is an arithmetic number, because the mean of its divisors is an integer number (12684808500).

Almost surely, 2^{1626164822016} is an apocalyptic number.

1626164822016 is a gapful number since it is divisible by the number (16) 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 1626164822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739918636000).

1626164822016 is an abundant number, since it is smaller than the sum of its proper divisors (3853672449984).

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

1626164822016 is an frugal number, since it uses more digits than its factorization.

1626164822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1626164822016 in words is "one trillion, six hundred twenty-six billion, one hundred sixty-four million, eight hundred twenty-two thousand, sixteen".