10347245727616 has 128 divisors (see below), whose sum is σ = 23808754483200. Its totient is φ = 4387610529792.

The previous prime is 10347245727583. The next prime is 10347245727653. The reversal of 10347245727616 is 61672754274301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41637780 + ... + 41885548.

It is an arithmetic number, because the mean of its divisors is an integer number (186005894400).

Almost surely, 2^{10347245727616} is an apocalyptic number.

10347245727616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10347245727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904377241600).

10347245727616 is an abundant number, since it is smaller than the sum of its proper divisors (13461508755584).

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

10347245727616 is a wasteful number, since it uses less digits than its factorization.

10347245727616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248284 (or 248272 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 10347245727616 in words is "ten trillion, three hundred forty-seven billion, two hundred forty-five million, seven hundred twenty-seven thousand, six hundred sixteen".