1001464535824 has 45 divisors (see below), whose sum is σ = 2009785872757. Its totient is φ = 483409596992.

The previous prime is 1001464535789. The next prime is 1001464535837. The reversal of 1001464535824 is 4285354641001.

The square root of 1001464535824 is 1000732.

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

It can be written as a sum of positive squares in only one way, i.e., 525143710224 + 476320825600 = 724668^2 + 690160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116080599 + ... + 116089225.

Almost surely, 2^{1001464535824} is an apocalyptic number.

1001464535824 is the 1000732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001464535824

1001464535824 is an abundant number, since it is smaller than the sum of its proper divisors (1008321336933).

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

1001464535824 is an frugal number, since it uses more digits than its factorization.

1001464535824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17320 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 1001464535824 in words is "one trillion, one billion, four hundred sixty-four million, five hundred thirty-five thousand, eight hundred twenty-four".