4249599320064 has 1344 divisors, whose sum is σ = 14706896948352. Its totient is φ = 1083388723200.

The previous prime is 4249599320053. The next prime is 4249599320167. The reversal of 4249599320064 is 4600239959424.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4249599320064² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4249599319986 and 4249599320013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51199991767 + ... + 51199991849.

It is an arithmetic number, because the mean of its divisors is an integer number (10942631658).

Almost surely, 2^{4249599320064} 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 4249599320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353448474176).

4249599320064 is an abundant number, since it is smaller than the sum of its proper divisors (10457297628288).

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

4249599320064 is a wasteful number, since it uses less digits than its factorization.

4249599320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 4249599320064 in words is "four trillion, two hundred forty-nine billion, five hundred ninety-nine million, three hundred twenty thousand, sixty-four".