7124141854368 has 1728 divisors, whose sum is σ = 28410057801216. Its totient is φ = 1648617062400.

The previous prime is 7124141854339. The next prime is 7124141854397. The reversal of 7124141854368 is 8634581414217.

It is a happy number.

7124141854368 is a `hidden beast` number, since 7 + 1 + 2 + 414 + 185 + 43 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7124141854339) and next prime (7124141854397).

It is a super-2 number, since 2×7124141854368² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10777823958 + ... + 10777824618.

It is an arithmetic number, because the mean of its divisors is an integer number (16441005672).

Almost surely, 2^{7124141854368} 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 7124141854368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14205028900608).

7124141854368 is an abundant number, since it is smaller than the sum of its proper divisors (21285915946848).

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

7124141854368 is a wasteful number, since it uses less digits than its factorization.

7124141854368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 837 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 7124141854368 in words is "seven trillion, one hundred twenty-four billion, one hundred forty-one million, eight hundred fifty-four thousand, three hundred sixty-eight".