5414082723168 has 768 divisors, whose sum is σ = 18466818048000. Its totient is φ = 1351680196608.

The previous prime is 5414082723113. The next prime is 5414082723197. The reversal of 5414082723168 is 8613272804145.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 5414082723168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7286786605 + ... + 7286787347.

It is an arithmetic number, because the mean of its divisors is an integer number (24045336000).

Almost surely, 2^{5414082723168} 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 5414082723168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233409024000).

5414082723168 is an abundant number, since it is smaller than the sum of its proper divisors (13052735324832).

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

5414082723168 is a wasteful number, since it uses less digits than its factorization.

5414082723168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 5414082723168 in words is "five trillion, four hundred fourteen billion, eighty-two million, seven hundred twenty-three thousand, one hundred sixty-eight".