29474252319264 has 192 divisors, whose sum is σ = 87859756978560. Its totient is φ = 8594862981120.

The previous prime is 29474252319263. The next prime is 29474252319313. The reversal of 29474252319264 is 46291325247492.

It is a junction number, because it is equal to n+sod(n) for n = 29474252319198 and 29474252319207.

It is not an unprimeable number, because it can be changed into a prime (29474252319263) 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, 7323907 + ... + 10610754.

It is an arithmetic number, because the mean of its divisors is an integer number (457602900930).

Almost surely, 2^{29474252319264} is an apocalyptic number.

29474252319264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29474252319264 is an abundant number, since it is smaller than the sum of its proper divisors (58385504659296).

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

29474252319264 is a wasteful number, since it uses less digits than its factorization.

29474252319264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17934763 (or 17934755 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 60.

The spelling of 29474252319264 in words is "twenty-nine trillion, four hundred seventy-four billion, two hundred fifty-two million, three hundred nineteen thousand, two hundred sixty-four".