6658381587456 has 99 divisors (see below), whose sum is σ = 19226647641331. Its totient is φ = 2219377956864.

The previous prime is 6658381587427. The next prime is 6658381587457. The reversal of 6658381587456 is 6547851838566.

The square root of 6658381587456 is 2580384.

It is a perfect power (a square), and thus also a powerful number.

6658381587456 is a `hidden beast` number, since 6 + 6 + 5 + 8 + 38 + 1 + 587 + 4 + 5 + 6 = 666.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6658381587457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 247703425 + ... + 247730303.

Almost surely, 2^{6658381587456} is an apocalyptic number.

6658381587456 is the 2580384-th square number.

It is an amenable number.

6658381587456 is an abundant number, since it is smaller than the sum of its proper divisors (12568266053875).

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

6658381587456 is an frugal number, since it uses more digits than its factorization.

6658381587456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53784 (or 26884 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 72.

The spelling of 6658381587456 in words is "six trillion, six hundred fifty-eight billion, three hundred eighty-one million, five hundred eighty-seven thousand, four hundred fifty-six".