4148314684416 has 880 divisors, whose sum is σ = 15038318186496. Its totient is φ = 1111932665856.

The previous prime is 4148314684343. The next prime is 4148314684453. The reversal of 4148314684416 is 6144864138414.

4148314684416 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 3 + 146 + 84 + 416 = 666.

It is a super-2 number, since 2×4148314684416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4806853201 + ... + 4806854063.

Almost surely, 2^{4148314684416} 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 4148314684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519159093248).

4148314684416 is an abundant number, since it is smaller than the sum of its proper divisors (10890003502080).

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

4148314684416 is a wasteful number, since it uses less digits than its factorization.

4148314684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1379 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 4148314684416 in words is "four trillion, one hundred forty-eight billion, three hundred fourteen million, six hundred eighty-four thousand, four hundred sixteen".