5462413075152 has 960 divisors, whose sum is σ = 18887876812800. Its totient is φ = 1505621779200.

The previous prime is 5462413075151. The next prime is 5462413075181. The reversal of 5462413075152 is 2515703142645.

5462413075152 is a `hidden beast` number, since 5 + 4 + 6 + 241 + 307 + 51 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5462413075098 and 5462413075107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462413075151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43011126513 + ... + 43011126639.

It is an arithmetic number, because the mean of its divisors is an integer number (19674871680).

Almost surely, 2^{5462413075152} 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 5462413075152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443938406400).

5462413075152 is an abundant number, since it is smaller than the sum of its proper divisors (13425463737648).

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

5462413075152 is a wasteful number, since it uses less digits than its factorization.

5462413075152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 5462413075152 in words is "five trillion, four hundred sixty-two billion, four hundred thirteen million, seventy-five thousand, one hundred fifty-two".