414816862521601 has 16 divisors (see below), whose sum is σ = 425476898478720. Its totient is φ = 404307586650240.

The previous prime is 414816862521587. The next prime is 414816862521707. The reversal of 414816862521601 is 106125268618414.

It is a cyclic number.

It is not a de Polignac number, because 414816862521601 - 2¹⁹ = 414816861997313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414816862521001) 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, 57069180 + ... + 63925933.

It is an arithmetic number, because the mean of its divisors is an integer number (26592306154920).

Almost surely, 2^{414816862521601} is an apocalyptic number.

It is an amenable number.

414816862521601 is a deficient number, since it is larger than the sum of its proper divisors (10660035957119).

414816862521601 is a wasteful number, since it uses less digits than its factorization.

414816862521601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120995736.

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 414816862521601 in words is "four hundred fourteen trillion, eight hundred sixteen billion, eight hundred sixty-two million, five hundred twenty-one thousand, six hundred one".