46931528734281 has 81 divisors (see below), whose sum is σ = 73947110943303. Its totient is φ = 28677406626720.

The previous prime is 46931528734253. The next prime is 46931528734313. The reversal of 46931528734281 is 18243782513964.

It is a happy number.

The square root of 46931528734281 is 6850659.

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

46931528734281 is a `hidden beast` number, since 4 + 6 + 9 + 3 + 1 + 5 + 287 + 342 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11933466615225 + 34998062119056 = 3454485^2 + 5915916^2 .

It is not a de Polignac number, because 46931528734281 - 2⁵ = 46931528734249 is a prime.

It is a super-2 number, since 2×46931528734281² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46931528734681) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12105112515 + ... + 12105116391.

Almost surely, 2^{46931528734281} is an apocalyptic number.

46931528734281 is the 6850659-th square number.

46931528734281 is the 3425330-th centered octagonal number.

It is an amenable number.

46931528734281 is a deficient number, since it is larger than the sum of its proper divisors (27015582209022).

46931528734281 is an frugal number, since it uses more digits than its factorization.

46931528734281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 3930 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 46931528734281 in words is "forty-six trillion, nine hundred thirty-one billion, five hundred twenty-eight million, seven hundred thirty-four thousand, two hundred eighty-one".