15406411460451 has 16 divisors (see below), whose sum is σ = 22412387077248. Its totient is φ = 9335943518400.

The previous prime is 15406411460417. The next prime is 15406411460459.

It is a happy number.

15406411460451 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 15406411460451 - 2¹⁵ = 15406411427683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15406411460459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31643461 + ... + 32126646.

It is an arithmetic number, because the mean of its divisors is an integer number (1400774192328).

Almost surely, 2^{15406411460451} is an apocalyptic number.

15406411460451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15406411460451 is a deficient number, since it is larger than the sum of its proper divisors (7005975616797).

15406411460451 is a wasteful number, since it uses less digits than its factorization.

15406411460451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63777442.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 15406411460451 in words is "fifteen trillion, four hundred six billion, four hundred eleven million, four hundred sixty thousand, four hundred fifty-one".