10677513448 has 64 divisors (see below), whose sum is σ = 24105456000. Its totient is φ = 4331480832.

The previous prime is 10677513367. The next prime is 10677513449. The reversal of 10677513448 is 84431577601.

It is a super-2 number, since 2×10677513448² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10677513398 and 10677513407.

It is not an unprimeable number, because it can be changed into a prime (10677513449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457218 + ... + 1464526.

It is an arithmetic number, because the mean of its divisors is an integer number (376647750).

Almost surely, 2^10677513448 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 10677513448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052728000).

10677513448 is an abundant number, since it is smaller than the sum of its proper divisors (13427942552).

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

10677513448 is a wasteful number, since it uses less digits than its factorization.

10677513448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 10677513448 in words is "ten billion, six hundred seventy-seven million, five hundred thirteen thousand, four hundred forty-eight".