169029021349056 has 1344 divisors, whose sum is σ = 547412703731712. Its totient is φ = 45779779584000.

The previous prime is 169029021348841. The next prime is 169029021349057. The reversal of 169029021349056 is 650943120920961.

It is a super-2 number, since 2×169029021349056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 169029021348987 and 169029021349005.

It is not an unprimeable number, because it can be changed into a prime (169029021349057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 292944577440 + ... + 292944578016.

It is an arithmetic number, because the mean of its divisors is an integer number (407301118848).

Almost surely, 2^{169029021349056} is an apocalyptic number.

169029021349056 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 169029021349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273706351865856).

169029021349056 is an abundant number, since it is smaller than the sum of its proper divisors (378383682382656).

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

169029021349056 is a wasteful number, since it uses less digits than its factorization.

169029021349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 169029021349056 in words is "one hundred sixty-nine trillion, twenty-nine billion, twenty-one million, three hundred forty-nine thousand, fifty-six".