5012384547456 has 2048 divisors, whose sum is σ = 19247155200000. Its totient is φ = 1260801884160.

The previous prime is 5012384547407. The next prime is 5012384547461. The reversal of 5012384547456 is 6547454832105.

5012384547456 is a `hidden beast` number, since 5 + 0 + 12 + 3 + 84 + 547 + 4 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21512379916 + ... + 21512380148.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025000).

Almost surely, 2^{5012384547456} 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 5012384547456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623577600000).

5012384547456 is an abundant number, since it is smaller than the sum of its proper divisors (14234770652544).

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

5012384547456 is a wasteful number, since it uses less digits than its factorization.

5012384547456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 5012384547456 in words is "five trillion, twelve billion, three hundred eighty-four million, five hundred forty-seven thousand, four hundred fifty-six".