456143547456 has 189 divisors, whose sum is σ = 1324823785831. Its totient is φ = 150054115584.

The previous prime is 456143547437. The next prime is 456143547487. The reversal of 456143547456 is 654745341654.

The square root of 456143547456 is 675384.

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

456143547456 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 43 + 547 + 4 + 56 = 666.

It is a Duffinian number.

Its product of digits (24192000) is a multiple of the sum of its prime divisors (375).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1734385981 + ... + 1734386243.

Almost surely, 2^456143547456 is an apocalyptic number.

456143547456 is the 675384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456143547456

456143547456 is an abundant number, since it is smaller than the sum of its proper divisors (868680238375).

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

456143547456 is an equidigital number, since it uses as much as digits as its factorization.

456143547456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 375 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 456143547456 in words is "four hundred fifty-six billion, one hundred forty-three million, five hundred forty-seven thousand, four hundred fifty-six".