29459481846768 has 120 divisors (see below), whose sum is σ = 86039526287520. Its totient is φ = 9391862853120.

The previous prime is 29459481846761. The next prime is 29459481846793. The reversal of 29459481846768 is 86764818495492.

29459481846768 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 94 + 8 + 1 + 8 + 467 + 68 = 666.

It is a super-2 number, since 2×29459481846768² (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 (29459481846761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30461278 + ... + 31413506.

It is an arithmetic number, because the mean of its divisors is an integer number (716996052396).

Almost surely, 2^{29459481846768} 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 29459481846768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43019763143760).

29459481846768 is an abundant number, since it is smaller than the sum of its proper divisors (56580044440752).

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

29459481846768 is a wasteful number, since it uses less digits than its factorization.

29459481846768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961607 (or 961598 counting only the distinct ones).

The product of its digits is 6688604160, while the sum is 81.

The spelling of 29459481846768 in words is "twenty-nine trillion, four hundred fifty-nine billion, four hundred eighty-one million, eight hundred forty-six thousand, seven hundred sixty-eight".