5413235478816 has 768 divisors, whose sum is σ = 16845311508480. Its totient is φ = 1517477068800.

The previous prime is 5413235478803. The next prime is 5413235478853. The reversal of 5413235478816 is 6188745323145.

It is a happy number.

It is a super-2 number, since 2×5413235478816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 29907378246 + ... + 29907378426.

It is an arithmetic number, because the mean of its divisors is an integer number (21933999360).

Almost surely, 2^{5413235478816} 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 5413235478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422655754240).

5413235478816 is an abundant number, since it is smaller than the sum of its proper divisors (11432076029664).

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

5413235478816 is a wasteful number, since it uses less digits than its factorization.

5413235478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 440 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 5413235478816 in words is "five trillion, four hundred thirteen billion, two hundred thirty-five million, four hundred seventy-eight thousand, eight hundred sixteen".