4214599596601 has 9 divisors (see below), whose sum is σ = 4314983314149. Its totient is φ = 4116499428636.

The previous prime is 4214599596587. The next prime is 4214599596653. The reversal of 4214599596601 is 1066959954124.

The square root of 4214599596601 is 2052949.

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

It is not a de Polignac number, because 4214599596601 - 2²¹ = 4214597499449 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 4214599596601.

It is not an unprimeable number, because it can be changed into a prime (4214599596301) 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 8 ways as a sum of consecutive naturals, for example, 88252936 + ... + 88300678.

It is an arithmetic number, because the mean of its divisors is an integer number (479442590461).

Almost surely, 2^{4214599596601} is an apocalyptic number.

4214599596601 is the 2052949-th square number.

4214599596601 is the 1026475-th centered octagonal number.

It is an amenable number.

4214599596601 is a deficient number, since it is larger than the sum of its proper divisors (100383717548).

4214599596601 is an frugal number, since it uses more digits than its factorization.

4214599596601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95572 (or 47786 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 4214599596601 in words is "four trillion, two hundred fourteen billion, five hundred ninety-nine million, five hundred ninety-six thousand, six hundred one".