29290090949616 has 320 divisors, whose sum is σ = 94814262927360. Its totient is φ = 7598192394240.

The previous prime is 29290090949593. The next prime is 29290090949617. The reversal of 29290090949616 is 61694909009292.

It is a super-2 number, since 2×29290090949616² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29290090949617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55870920 + ... + 56392728.

It is an arithmetic number, because the mean of its divisors is an integer number (296294571648).

Almost surely, 2^{29290090949616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29290090949616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47407131463680).

29290090949616 is an abundant number, since it is smaller than the sum of its proper divisors (65524171977744).

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

29290090949616 is a wasteful number, since it uses less digits than its factorization.

29290090949616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522192 (or 522186 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 66.

The spelling of 29290090949616 in words is "twenty-nine trillion, two hundred ninety billion, ninety million, nine hundred forty-nine thousand, six hundred sixteen".