29348162946672 has 80 divisors (see below), whose sum is σ = 79823916894720. Its totient is φ = 9265807641600.

The previous prime is 29348162946649. The next prime is 29348162946701. The reversal of 29348162946672 is 27664926184392.

It is a super-2 number, since 2×29348162946672² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29348162946597 and 29348162946606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631897 + ... + 7687367.

It is an arithmetic number, because the mean of its divisors is an integer number (997798961184).

Almost surely, 2^{29348162946672} is an apocalyptic number.

It is an amenable number.

29348162946672 is an abundant number, since it is smaller than the sum of its proper divisors (50475753948048).

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

29348162946672 is a wasteful number, since it uses less digits than its factorization.

29348162946672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060062 (or 7060056 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 69.

The spelling of 29348162946672 in words is "twenty-nine trillion, three hundred forty-eight billion, one hundred sixty-two million, nine hundred forty-six thousand, six hundred seventy-two".