5146356536415 has 32 divisors (see below), whose sum is σ = 9154097418240. Its totient is φ = 2743217746848.

The previous prime is 5146356536383. The next prime is 5146356536471.

5146356536415 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 3 + 565 + 3 + 64 + 15 = 666.

5146356536415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5146356536415 - 2⁵ = 5146356536383 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10209507 + ... + 10701716.

It is an arithmetic number, because the mean of its divisors is an integer number (286065544320).

Almost surely, 2^{5146356536415} is an apocalyptic number.

5146356536415 is a deficient number, since it is larger than the sum of its proper divisors (4007740881825).

5146356536415 is a wasteful number, since it uses less digits than its factorization.

5146356536415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20913060 (or 20913054 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 5146356536415 in words is "five trillion, one hundred forty-six billion, three hundred fifty-six million, five hundred thirty-six thousand, four hundred fifteen".