1005824456464 has 15 divisors (see below), whose sum is σ = 1948792656967. Its totient is φ = 502910222416.

The previous prime is 1005824456423. The next prime is 1005824456489. The reversal of 1005824456464 is 4646544285001.

The square root of 1005824456464 is 1002908.

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

It is a super-2 number, since 2×1005824456464² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3886269 + ... + 4136995.

Almost surely, 2^{1005824456464} is an apocalyptic number.

1005824456464 is the 1002908-th square number.

It is an amenable number.

1005824456464 is a deficient number, since it is larger than the sum of its proper divisors (942968200503).

1005824456464 is an frugal number, since it uses more digits than its factorization.

1005824456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501462 (or 250729 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 49.

Multiplying 1005824456464 by its sum of digits (49), we get a square (49285398366736 = 7020356²).

The spelling of 1005824456464 in words is "one trillion, five billion, eight hundred twenty-four million, four hundred fifty-six thousand, four hundred sixty-four".