47381870135601 has 81 divisors (see below), whose sum is σ = 70761179031361. Its totient is φ = 30551500041600.

The previous prime is 47381870135521. The next prime is 47381870135609. The reversal of 47381870135601 is 10653107818374.

The square root of 47381870135601 is 6883449.

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

47381870135601 is a `hidden beast` number, since 4 + 7 + 3 + 8 + 1 + 8 + 70 + 1 + 3 + 560 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7888104225 + 47373982031376 = 88815^2 + 6882876^2 .

It is a de Polignac number, because none of the positive numbers 2^k-47381870135601 is a prime.

It is a super-2 number, since 2×47381870135601² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47381870135609) 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, 161712867211 + ... + 161712867503.

Almost surely, 2^{47381870135601} is an apocalyptic number.

47381870135601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

47381870135601 is the 6883449-th square number.

47381870135601 is the 3441725-th centered octagonal number.

It is an amenable number.

47381870135601 is a deficient number, since it is larger than the sum of its proper divisors (23379308895760).

47381870135601 is an frugal number, since it uses more digits than its factorization.

47381870135601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 47381870135601 in words is "forty-seven trillion, three hundred eighty-one billion, eight hundred seventy million, one hundred thirty-five thousand, six hundred one".