2616345513441 has 32 divisors (see below), whose sum is σ = 4228537904640. Its totient is φ = 1585626181200.

The previous prime is 2616345513421. The next prime is 2616345513451. The reversal of 2616345513441 is 1443155436162.

2616345513441 is a `hidden beast` number, since 2 + 6 + 1 + 63 + 4 + 551 + 34 + 4 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2616345513441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2616345513401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17162886 + ... + 17314656.

It is an arithmetic number, because the mean of its divisors is an integer number (132141809520).

Almost surely, 2^{2616345513441} is an apocalyptic number.

It is an amenable number.

2616345513441 is a deficient number, since it is larger than the sum of its proper divisors (1612192391199).

2616345513441 is a wasteful number, since it uses less digits than its factorization.

2616345513441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209834 (or 209828 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 2616345513441 in words is "two trillion, six hundred sixteen billion, three hundred forty-five million, five hundred thirteen thousand, four hundred forty-one".