4749344131401 has 27 divisors (see below), whose sum is σ = 6932541886101. Its totient is φ = 3133169455104.

The previous prime is 4749344131309. The next prime is 4749344131421. The reversal of 4749344131401 is 1041314439474.

The square root of 4749344131401 is 2179299.

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

4749344131401 is a `hidden beast` number, since 4 + 7 + 4 + 93 + 4 + 413 + 140 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10990377225 + 4738353754176 = 104835^2 + 2176776^2 .

It is not a de Polignac number, because 4749344131401 - 2¹¹ = 4749344129353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4749344131421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 634172265 + ... + 634179753.

Almost surely, 2^{4749344131401} is an apocalyptic number.

4749344131401 is the 2179299-th square number.

4749344131401 is the 1089650-th centered octagonal number.

It is an amenable number.

4749344131401 is a deficient number, since it is larger than the sum of its proper divisors (2183197754700).

4749344131401 is an frugal number, since it uses more digits than its factorization.

4749344131401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15178 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4749344131401 in words is "four trillion, seven hundred forty-nine billion, three hundred forty-four million, one hundred thirty-one thousand, four hundred one".