16157819263041 has 49 divisors (see below), whose sum is σ = 24691524535399. Its totient is φ = 10568636499096.

The previous prime is 16157819262971. The next prime is 16157819263073. The reversal of 16157819263041 is 14036291875161.

The square root of 16157819263041 is 4019679.

The cubic root of 16157819263041 is 25281.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

16157819263041 is a `hidden beast` number, since 1 + 6 + 1 + 578 + 1 + 9 + 2 + 63 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 157851263025 + 15999968000016 = 397305^2 + 3999996^2 .

It is not a de Polignac number, because 16157819263041 - 2²⁵ = 16157785708609 is a prime.

It is a super-2 number, since 2×16157819263041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16157819263081) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 304864514371 + ... + 304864514423.

It is a 1-persistent number, because it is pandigital, but 2⋅16157819263041 = 32315638526082 is not.

Almost surely, 2^{16157819263041} is an apocalyptic number.

16157819263041 is the 4019679-th square number.

16157819263041 is the 2009840-th centered octagonal number.

It is an amenable number.

16157819263041 is a deficient number, since it is larger than the sum of its proper divisors (8533705272358).

16157819263041 is an frugal number, since it uses more digits than its factorization.

16157819263041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 16157819263041 in words is "sixteen trillion, one hundred fifty-seven billion, eight hundred nineteen million, two hundred sixty-three thousand, forty-one".