4611516683401 has 8 divisors (see below), whose sum is σ = 4770568453320. Its totient is φ = 4452467177088.

The previous prime is 4611516683399. The next prime is 4611516683489. The reversal of 4611516683401 is 1043866151164.

4611516683401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63214027776 + 4548302655625 = 251424^2 + 2132675^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4611516683401 - 2¹ = 4611516683399 is a prime.

It is a super-2 number, since 2×4611516683401² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4611519683401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4283235 + ... + 5250631.

It is an arithmetic number, because the mean of its divisors is an integer number (596321056665).

Almost surely, 2^{4611516683401} is an apocalyptic number.

It is an amenable number.

4611516683401 is a deficient number, since it is larger than the sum of its proper divisors (159051769919).

4611516683401 is a wasteful number, since it uses less digits than its factorization.

4611516683401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131803.

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 4611516683401 in words is "four trillion, six hundred eleven billion, five hundred sixteen million, six hundred eighty-three thousand, four hundred one".