5614224027264 has 320 divisors, whose sum is σ = 17728795244160. Its totient is φ = 1757527842816.

The previous prime is 5614224027257. The next prime is 5614224027271. The reversal of 5614224027264 is 4627204224165.

5614224027264 is a `hidden beast` number, since 5 + 6 + 142 + 240 + 2 + 7 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (5614224027257) and next prime (5614224027271).

It is a super-2 number, since 2×5614224027264² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82277449 + ... + 82345655.

It is an arithmetic number, because the mean of its divisors is an integer number (55402485138).

Almost surely, 2^{5614224027264} is an apocalyptic number.

5614224027264 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 5614224027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864397622080).

5614224027264 is an abundant number, since it is smaller than the sum of its proper divisors (12114571216896).

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

5614224027264 is a wasteful number, since it uses less digits than its factorization.

5614224027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68717 (or 68696 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 5614224027264 in words is "five trillion, six hundred fourteen billion, two hundred twenty-four million, twenty-seven thousand, two hundred sixty-four".