6148668416 has 88 divisors (see below), whose sum is σ = 13446824880. Its totient is φ = 2786918400.

The previous prime is 6148668397. The next prime is 6148668431.

6148668416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×6148668416² = 75612246579831898112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6093320 + ... + 6094328.

Almost surely, 2^6148668416 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 6148668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723412440).

6148668416 is an abundant number, since it is smaller than the sum of its proper divisors (7298156464).

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

6148668416 is a wasteful number, since it uses less digits than its factorization.

6148668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1563 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 6148668416 is about 78413.4453776902. The cubic root of 6148668416 is about 1832.0065597294.

The spelling of 6148668416 in words is "six billion, one hundred forty-eight million, six hundred sixty-eight thousand, four hundred sixteen".