5405345123904 has 224 divisors, whose sum is σ = 17554763366400. Its totient is φ = 1617248954880.

The previous prime is 5405345123887. The next prime is 5405345123921. The reversal of 5405345123904 is 4093215435045.

5405345123904 is a `hidden beast` number, since 5 + 4 + 0 + 534 + 5 + 1 + 23 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5405345123887) and next prime (5405345123921).

It is a super-2 number, since 2×5405345123904² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5405345123904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298192 + ... + 3301455.

Almost surely, 2^{5405345123904} is an apocalyptic number.

5405345123904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405345123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777381683200).

5405345123904 is an abundant number, since it is smaller than the sum of its proper divisors (12149418242496).

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

5405345123904 is a wasteful number, since it uses less digits than its factorization.

5405345123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599758 (or 3599742 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 5405345123904 in words is "five trillion, four hundred five billion, three hundred forty-five million, one hundred twenty-three thousand, nine hundred four".