11541314357001 has 81 divisors (see below), whose sum is σ = 19844566417767. Its totient is φ = 6455864020320.

The previous prime is 11541314356987. The next prime is 11541314357033. The reversal of 11541314357001 is 10075341314511.

The square root of 11541314357001 is 3397251.

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

11541314357001 is a `hidden beast` number, since 1 + 1 + 5 + 41 + 3 + 1 + 43 + 570 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1707295023225 + 9834019333776 = 1306635^2 + 3135924^2 .

It is not a de Polignac number, because 11541314357001 - 2²³ = 11541305968393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11541314357051) 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, 1457416720 + ... + 1457424638.

Almost surely, 2^{11541314357001} is an apocalyptic number.

11541314357001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11541314357001 is the 3397251-st square number.

11541314357001 is the 1698626-th centered octagonal number.

It is an amenable number.

11541314357001 is a deficient number, since it is larger than the sum of its proper divisors (8303252060766).

11541314357001 is an frugal number, since it uses more digits than its factorization.

11541314357001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15892 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 11541314357001 by its sum of digits (36), we get a square (415487316852036 = 20383506²).

The spelling of 11541314357001 in words is "eleven trillion, five hundred forty-one billion, three hundred fourteen million, three hundred fifty-seven thousand, one".