415153601361 has 24 divisors (see below), whose sum is σ = 600392417664. Its totient is φ = 276434160480.

The previous prime is 415153601347. The next prime is 415153601371. The reversal of 415153601361 is 163106351514.

415153601361 is a `hidden beast` number, since 4 + 1 + 5 + 15 + 3 + 601 + 36 + 1 = 666.

It is not a de Polignac number, because 415153601361 - 2¹⁵ = 415153568593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (415153601371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28511895 + ... + 28526451.

It is an arithmetic number, because the mean of its divisors is an integer number (25016350736).

Almost surely, 2^415153601361 is an apocalyptic number.

It is an amenable number.

415153601361 is a deficient number, since it is larger than the sum of its proper divisors (185238816303).

415153601361 is a wasteful number, since it uses less digits than its factorization.

415153601361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18181 (or 18178 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 415153601361 its reverse (163106351514), we get a palindrome (578259952875).

The spelling of 415153601361 in words is "four hundred fifteen billion, one hundred fifty-three million, six hundred one thousand, three hundred sixty-one".