7005514146912 has 144 divisors (see below), whose sum is σ = 20052053173152. Its totient is φ = 2319923773440.

The previous prime is 7005514146899. The next prime is 7005514146923. The reversal of 7005514146912 is 2196414155007.

7005514146912 is a `hidden beast` number, since 7 + 0 + 0 + 5 + 514 + 1 + 46 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 521198112 + ... + 521211552.

It is an arithmetic number, because the mean of its divisors is an integer number (139250369258).

Almost surely, 2^{7005514146912} is an apocalyptic number.

7005514146912 is a gapful number since it is divisible by the number (72) 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 7005514146912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026026586576).

7005514146912 is an abundant number, since it is smaller than the sum of its proper divisors (13046539026240).

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

7005514146912 is a wasteful number, since it uses less digits than its factorization.

7005514146912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25141 (or 25130 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 7005514146912 in words is "seven trillion, five billion, five hundred fourteen million, one hundred forty-six thousand, nine hundred twelve".