29871865146256 has 45 divisors (see below), whose sum is σ = 67326347100369. Its totient is φ = 12802162333632.

The previous prime is 29871865146209. The next prime is 29871865146287. The reversal of 29871865146256 is 65264156817892.

The square root of 29871865146256 is 5465516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19891421600400 + 9980443545856 = 4459980^2 + 3159184^2 .

It is a super-2 number, since 2×29871865146256² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 152936850 + ... + 153132046.

Almost surely, 2^{29871865146256} is an apocalyptic number.

29871865146256 is the 5465516-th square number.

It is an amenable number.

29871865146256 is an abundant number, since it is smaller than the sum of its proper divisors (37454481954113).

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

29871865146256 is an frugal number, since it uses more digits than its factorization.

29871865146256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390416 (or 195206 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 70.

The spelling of 29871865146256 in words is "twenty-nine trillion, eight hundred seventy-one billion, eight hundred sixty-five million, one hundred forty-six thousand, two hundred fifty-six".