16456406467361 has 16 divisors (see below), whose sum is σ = 18935202816000. Its totient is φ = 14009596980288.

The previous prime is 16456406467339. The next prime is 16456406467373. The reversal of 16456406467361 is 16376460465461.

It is a happy number.

It is not a de Polignac number, because 16456406467361 - 2²⁶ = 16456339358497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16456406467361.

It is not an unprimeable number, because it can be changed into a prime (16456406467301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11329451 + ... + 12699183.

It is an arithmetic number, because the mean of its divisors is an integer number (1183450176000).

Almost surely, 2^{16456406467361} is an apocalyptic number.

It is an amenable number.

16456406467361 is a deficient number, since it is larger than the sum of its proper divisors (2478796348639).

16456406467361 is a wasteful number, since it uses less digits than its factorization.

16456406467361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381408.

The product of its (nonzero) digits is 52254720, while the sum is 59.

The spelling of 16456406467361 in words is "sixteen trillion, four hundred fifty-six billion, four hundred six million, four hundred sixty-seven thousand, three hundred sixty-one".