1465668579904 has 63 divisors (see below), whose sum is σ = 2981911623033. Its totient is φ = 714766579200.

The previous prime is 1465668579901. The next prime is 1465668579931. The reversal of 1465668579904 is 4099758665641.

The square root of 1465668579904 is 1210648.

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., 70624125504 + 1395044454400 = 265752^2 + 1181120^2 .

It is a super-2 number, since 2×1465668579904² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1465668579901) 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, 397090699 + ... + 397094389.

Almost surely, 2^{1465668579904} is an apocalyptic number.

1465668579904 is the 1210648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1465668579904

1465668579904 is an abundant number, since it is smaller than the sum of its proper divisors (1516243043129).

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

1465668579904 is an frugal number, since it uses more digits than its factorization.

1465668579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 70.

The spelling of 1465668579904 in words is "one trillion, four hundred sixty-five billion, six hundred sixty-eight million, five hundred seventy-nine thousand, nine hundred four".