1464253531728 has 320 divisors, whose sum is σ = 4213170339840. Its totient is φ = 435450322944.

The previous prime is 1464253531721. The next prime is 1464253531753. The reversal of 1464253531728 is 8271353524641.

It is a super-2 number, since 2×1464253531728² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464253531721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462345601 + ... + 462348767.

It is an arithmetic number, because the mean of its divisors is an integer number (13166157312).

Almost surely, 2^{1464253531728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464253531728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106585169920).

1464253531728 is an abundant number, since it is smaller than the sum of its proper divisors (2748916808112).

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

1464253531728 is a wasteful number, since it uses less digits than its factorization.

1464253531728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3460 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The spelling of 1464253531728 in words is "one trillion, four hundred sixty-four billion, two hundred fifty-three million, five hundred thirty-one thousand, seven hundred twenty-eight".