2251346416616 has 128 divisors (see below), whose sum is σ = 4879998921600. Its totient is φ = 962979840000.

The previous prime is 2251346416591. The next prime is 2251346416621. The reversal of 2251346416616 is 6166146431522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161576786 + ... + 161590718.

It is an arithmetic number, because the mean of its divisors is an integer number (38124991575).

Almost surely, 2^{2251346416616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251346416616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439999460800).

2251346416616 is an abundant number, since it is smaller than the sum of its proper divisors (2628652504984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2251346416616 is a wasteful number, since it uses less digits than its factorization.

2251346416616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14611 (or 14607 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 47.

The spelling of 2251346416616 in words is "two trillion, two hundred fifty-one billion, three hundred forty-six million, four hundred sixteen thousand, six hundred sixteen".