5001261318144 has 512 divisors, whose sum is σ = 18238233216000. Its totient is φ = 1318992740352.

The previous prime is 5001261318107. The next prime is 5001261318161. The reversal of 5001261318144 is 4418131621005.

5001261318144 is a `hidden beast` number, since 5 + 0 + 0 + 12 + 613 + 18 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×5001261318144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5001261318099 and 5001261318108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80479917 + ... + 80542035.

It is an arithmetic number, because the mean of its divisors is an integer number (35621549250).

Almost surely, 2^{5001261318144} is an apocalyptic number.

5001261318144 is a gapful number since it is divisible by the number (54) 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 5001261318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119116608000).

5001261318144 is an abundant number, since it is smaller than the sum of its proper divisors (13236971897856).

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

5001261318144 is an equidigital number, since it uses as much as digits as its factorization.

5001261318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62178 (or 62144 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 5001261318144 its reverse (4418131621005), we get a palindrome (9419392939149).

It can be divided in two parts, 50012613181 and 44, that added together give a square (50012613225 = 223635²).

The spelling of 5001261318144 in words is "five trillion, one billion, two hundred sixty-one million, three hundred eighteen thousand, one hundred forty-four".