16457618126401 has 9 divisors (see below), whose sum is σ = 16496977596003. Its totient is φ = 16418352368880.

The previous prime is 16457618126359. The next prime is 16457618126441. The reversal of 16457618126401 is 10462181675461.

The square root of 16457618126401 is 4056799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16280006452801 + 177611673600 = 4034849^2 + 421440^2 .

It is not a de Polignac number, because 16457618126401 - 2¹⁵ = 16457618093633 is a prime.

It is a super-2 number, since 2×16457618126401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16457618126441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1780930141 + ... + 1780939381.

It is an arithmetic number, because the mean of its divisors is an integer number (1832997510667).

Almost surely, 2^{16457618126401} is an apocalyptic number.

16457618126401 is the 4056799-th square number.

16457618126401 is the 2028400-th centered octagonal number.

It is an amenable number.

16457618126401 is a deficient number, since it is larger than the sum of its proper divisors (39359469602).

16457618126401 is an frugal number, since it uses more digits than its factorization.

16457618126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19360 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 16457618126401 in words is "sixteen trillion, four hundred fifty-seven billion, six hundred eighteen million, one hundred twenty-six thousand, four hundred one".