10627345848 has 256 divisors, whose sum is σ = 33214464000. Its totient is φ = 2765145600.

The previous prime is 10627345843. The next prime is 10627345849. The reversal of 10627345848 is 84854372601.

It is a super-2 number, since 2×10627345848² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10627345797 and 10627345806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627345843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20878618 + ... + 20879126.

It is an arithmetic number, because the mean of its divisors is an integer number (129744000).

Almost surely, 2^10627345848 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 10627345848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607232000).

10627345848 is an abundant number, since it is smaller than the sum of its proper divisors (22587118152).

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

10627345848 is a wasteful number, since it uses less digits than its factorization.

10627345848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 10627345848 in words is "ten billion, six hundred twenty-seven million, three hundred forty-five thousand, eight hundred forty-eight".