7149159972864 has 1368 divisors, whose sum is σ = 26629115542848. Its totient is φ = 1831191183360.

The previous prime is 7149159972863. The next prime is 7149159972887. The reversal of 7149159972864 is 4682799519417.

7149159972864 is a `hidden beast` number, since 7 + 1 + 4 + 9 + 1 + 599 + 7 + 28 + 6 + 4 = 666.

It is a super-2 number, since 2×7149159972864² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7149159972792 and 7149159972801.

It is not an unprimeable number, because it can be changed into a prime (7149159972863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100692393949 + ... + 100692394019.

It is an arithmetic number, because the mean of its divisors is an integer number (19465727736).

Almost surely, 2^{7149159972864} 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 7149159972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314557771424).

7149159972864 is an abundant number, since it is smaller than the sum of its proper divisors (19479955569984).

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

7149159972864 is an equidigital number, since it uses as much as digits as its factorization.

7149159972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 163 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 7149159972864 in words is "seven trillion, one hundred forty-nine billion, one hundred fifty-nine million, nine hundred seventy-two thousand, eight hundred sixty-four".