162564156265041 has 64 divisors (see below), whose sum is σ = 249999041967360. Its totient is φ = 105657937532928.

The previous prime is 162564156265031. The next prime is 162564156265057. The reversal of 162564156265041 is 140562651465261.

It is a happy number.

162564156265041 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 6 + 4 + 1 + 5 + 626 + 5 + 0 + 4 + 1 = 666.

162564156265041 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 162564156265041 - 2⁵ = 162564156265009 is a prime.

It is a super-2 number, since 2×162564156265041² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (162564156265031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8494585 + ... + 19932041.

It is an arithmetic number, because the mean of its divisors is an integer number (3906235030740).

Almost surely, 2^{162564156265041} is an apocalyptic number.

It is an amenable number.

162564156265041 is a deficient number, since it is larger than the sum of its proper divisors (87434885702319).

162564156265041 is an frugal number, since it uses more digits than its factorization.

162564156265041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437642 (or 11437624 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 162564156265041 in words is "one hundred sixty-two trillion, five hundred sixty-four billion, one hundred fifty-six million, two hundred sixty-five thousand, forty-one".