4148144677368 has 96 divisors (see below), whose sum is σ = 11829351705600. Its totient is φ = 1309552660800.

The previous prime is 4148144677319. The next prime is 4148144677427. The reversal of 4148144677368 is 8637764418414.

4148144677368 is a `hidden beast` number, since 4 + 1 + 48 + 1 + 4 + 467 + 73 + 68 = 666.

It is a super-2 number, since 2×4148144677368² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4191783 + ... + 5085993.

It is an arithmetic number, because the mean of its divisors is an integer number (123222413600).

Almost surely, 2^{4148144677368} 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 4148144677368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914675852800).

4148144677368 is an abundant number, since it is smaller than the sum of its proper divisors (7681207028232).

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

4148144677368 is a wasteful number, since it uses less digits than its factorization.

4148144677368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897633 (or 897626 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 4148144677368 in words is "four trillion, one hundred forty-eight billion, one hundred forty-four million, six hundred seventy-seven thousand, three hundred sixty-eight".