29086117978456 has 128 divisors (see below), whose sum is σ = 70342394803200. Its totient is φ = 10940822484480.

The previous prime is 29086117978451. The next prime is 29086117978471. The reversal of 29086117978456 is 65487971168092.

It is a super-2 number, since 2×29086117978456² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29086117978451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373372246 + ... + 373450138.

It is an arithmetic number, because the mean of its divisors is an integer number (549549959400).

Almost surely, 2^{29086117978456} 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 29086117978456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35171197401600).

29086117978456 is an abundant number, since it is smaller than the sum of its proper divisors (41256276824744).

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

29086117978456 is a wasteful number, since it uses less digits than its factorization.

29086117978456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98849 (or 98845 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 73.

The spelling of 29086117978456 in words is "twenty-nine trillion, eighty-six billion, one hundred seventeen million, nine hundred seventy-eight thousand, four hundred fifty-six".