5146044406415 has 96 divisors (see below), whose sum is σ = 7451289377280. Its totient is φ = 3393865728000.

The previous prime is 5146044406409. The next prime is 5146044406439.

5146044406415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5146044406415 - 2¹⁸ = 5146044144271 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72977975 + ... + 73048455.

It is an arithmetic number, because the mean of its divisors is an integer number (77617597680).

Almost surely, 2^{5146044406415} is an apocalyptic number.

5146044406415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5146044406415 is a deficient number, since it is larger than the sum of its proper divisors (2305244970865).

5146044406415 is a wasteful number, since it uses less digits than its factorization.

5146044406415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70785 (or 70774 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 5146044406415 in words is "five trillion, one hundred forty-six billion, forty-four million, four hundred six thousand, four hundred fifteen".