5074641418752 has 320 divisors, whose sum is σ = 16007935426560. Its totient is φ = 1583571382272.

The previous prime is 5074641418663. The next prime is 5074641418783. The reversal of 5074641418752 is 2578141464705.

It is a happy number.

5074641418752 is a `hidden beast` number, since 5 + 0 + 7 + 46 + 414 + 187 + 5 + 2 = 666.

It is a super-2 number, since 2×5074641418752² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14773953 + ... + 15113535.

It is an arithmetic number, because the mean of its divisors is an integer number (50024798208).

Almost surely, 2^{5074641418752} 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 5074641418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003967713280).

5074641418752 is an abundant number, since it is smaller than the sum of its proper divisors (10933294007808).

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

5074641418752 is a wasteful number, since it uses less digits than its factorization.

5074641418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339680 (or 339658 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 5074641418752 in words is "five trillion, seventy-four billion, six hundred forty-one million, four hundred eighteen thousand, seven hundred fifty-two".