5069415366144 has 640 divisors, whose sum is σ = 15965533140480. Its totient is φ = 1585979523072.

The previous prime is 5069415366137. The next prime is 5069415366161. The reversal of 5069415366144 is 4416635149605.

5069415366144 is a `hidden beast` number, since 5 + 0 + 6 + 9 + 4 + 1 + 536 + 61 + 44 = 666.

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

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, 1825499284 + ... + 1825502060.

It is an arithmetic number, because the mean of its divisors is an integer number (24946145532).

Almost surely, 2^{5069415366144} is an apocalyptic number.

5069415366144 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 5069415366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982766570240).

5069415366144 is an abundant number, since it is smaller than the sum of its proper divisors (10896117774336).

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

5069415366144 is a wasteful number, since it uses less digits than its factorization.

5069415366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5069415366144 in words is "five trillion, sixty-nine billion, four hundred fifteen million, three hundred sixty-six thousand, one hundred forty-four".