6381453456 has 225 divisors, whose sum is σ = 21553242249. Its totient is φ = 1817520768.

The previous prime is 6381453439. The next prime is 6381453457. The reversal of 6381453456 is 6543541836.

The square root of 6381453456 is 79884.

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

6381453456 is a `hidden beast` number, since 63 + 8 + 1 + 4 + 534 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 357210000 + 6024243456 = 18900^2 + 77616^2 .

It is a super-2 number, since 2×6381453456² = 81445896422188687872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6381453457) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20130610 + ... + 20130926.

Almost surely, 2^6381453456 is an apocalyptic number.

6381453456 is the 79884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6381453456

6381453456 is an abundant number, since it is smaller than the sum of its proper divisors (15171788793).

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

6381453456 is an equidigital number, since it uses as much as digits as its factorization.

6381453456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 329 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The cubic root of 6381453456 is about 1854.8403517523.

It can be divided in two parts, 638145 and 3456, that added together give a square (641601 = 801²).

The spelling of 6381453456 in words is "six billion, three hundred eighty-one million, four hundred fifty-three thousand, four hundred fifty-six".