10312249703616 has 420 divisors, whose sum is σ = 35652734270208. Its totient is φ = 2938636495872.

The previous prime is 10312249703599. The next prime is 10312249703617. The reversal of 10312249703616 is 61630794221301.

10312249703616 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 24 + 9 + 7 + 0 + 3 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (10312249703617) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97235130 + ... + 97341126.

Almost surely, 2^{10312249703616} is an apocalyptic number.

10312249703616 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 10312249703616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17826367135104).

10312249703616 is an abundant number, since it is smaller than the sum of its proper divisors (25340484566592).

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

10312249703616 is a wasteful number, since it uses less digits than its factorization.

10312249703616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106418 (or 106392 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10312249703616 in words is "ten trillion, three hundred twelve billion, two hundred forty-nine million, seven hundred three thousand, six hundred sixteen".