7286785130144 has 144 divisors (see below), whose sum is σ = 15594033168000. Its totient is φ = 3350215185408.

The previous prime is 7286785130129. The next prime is 7286785130159. The reversal of 7286785130144 is 4410315876827.

It is an interprime number because it is at equal distance from previous prime (7286785130129) and next prime (7286785130159).

It is a super-2 number, since 2×7286785130144² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7286785130144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3007338917 + ... + 3007341339.

It is an arithmetic number, because the mean of its divisors is an integer number (108291897000).

Almost surely, 2^{7286785130144} 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 7286785130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797016584000).

7286785130144 is an abundant number, since it is smaller than the sum of its proper divisors (8307248037856).

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

7286785130144 is a wasteful number, since it uses less digits than its factorization.

7286785130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 7286785130144 in words is "seven trillion, two hundred eighty-six billion, seven hundred eighty-five million, one hundred thirty thousand, one hundred forty-four".