201541406330115 has 64 divisors (see below), whose sum is σ = 362325150720000. Its totient is φ = 106282789200000.

The previous prime is 201541406330093. The next prime is 201541406330123. The reversal of 201541406330115 is 511033604145102.

201541406330115 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 4 + 1 + 4 + 0 + 633 + 0 + 1 + 15 = 666.

201541406330115 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201541406330115 - 2¹³ = 201541406321923 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201541406330115.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398886 + ... + 20080884.

It is an arithmetic number, because the mean of its divisors is an integer number (5661330480000).

Almost surely, 2^{201541406330115} is an apocalyptic number.

201541406330115 is a deficient number, since it is larger than the sum of its proper divisors (160783744389885).

201541406330115 is a wasteful number, since it uses less digits than its factorization.

201541406330115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19682865 (or 19682859 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 201541406330115 in words is "two hundred one trillion, five hundred forty-one billion, four hundred six million, three hundred thirty thousand, one hundred fifteen".