5011614346752 has 640 divisors, whose sum is σ = 16376851814400. Its totient is φ = 1503818514432.

The previous prime is 5011614346709. The next prime is 5011614346769. The reversal of 5011614346752 is 2576434161105.

It is a happy number.

5011614346752 is a `hidden beast` number, since 5 + 0 + 1 + 161 + 434 + 6 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5011614346698 and 5011614346707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1178369458 + ... + 1178373710.

It is an arithmetic number, because the mean of its divisors is an integer number (25588830960).

Almost surely, 2^{5011614346752} is an apocalyptic number.

5011614346752 is a gapful number since it is divisible by the number (52) 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 5011614346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188425907200).

5011614346752 is an abundant number, since it is smaller than the sum of its proper divisors (11365237467648).

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

5011614346752 is a wasteful number, since it uses less digits than its factorization.

5011614346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5011614346752 in words is "five trillion, eleven billion, six hundred fourteen million, three hundred forty-six thousand, seven hundred fifty-two".