4157353803681 has 189 divisors, whose sum is σ = 6981352965531. Its totient is φ = 2473371448704.

The previous prime is 4157353803653. The next prime is 4157353803709. The reversal of 4157353803681 is 1863083537514.

The square root of 4157353803681 is 2038959.

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

4157353803681 is a `hidden beast` number, since 4 + 1 + 5 + 73 + 538 + 0 + 36 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4157353803653) and next prime (4157353803709).

It can be written as a sum of positive squares in 13 ways, for example, as 2688206180625 + 1469147623056 = 1639575^2 + 1212084^2 .

It is not a de Polignac number, because 4157353803681 - 2²³ = 4157345415073 is a prime.

It is a super-2 number, since 2×4157353803681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4157353803641) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 26479960455 + ... + 26479960611.

It is an arithmetic number, because the mean of its divisors is an integer number (36938375479).

Almost surely, 2^{4157353803681} is an apocalyptic number.

4157353803681 is the 2038959-th square number.

4157353803681 is the 1019480-th centered octagonal number.

It is an amenable number.

4157353803681 is a deficient number, since it is larger than the sum of its proper divisors (2823999161850).

4157353803681 is an frugal number, since it uses more digits than its factorization.

4157353803681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4157353803681 in words is "four trillion, one hundred fifty-seven billion, three hundred fifty-three million, eight hundred three thousand, six hundred eighty-one".