1464054957824 has 144 divisors (see below), whose sum is σ = 3271544640000. Its totient is φ = 649821929472.

The previous prime is 1464054957823. The next prime is 1464054957829. The reversal of 1464054957824 is 4287594504641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464054957821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18731177 + ... + 18809175.

It is an arithmetic number, because the mean of its divisors is an integer number (22719060000).

Almost surely, 2^{1464054957824} 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 1464054957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635772320000).

1464054957824 is an abundant number, since it is smaller than the sum of its proper divisors (1807489682176).

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

1464054957824 is a wasteful number, since it uses less digits than its factorization.

1464054957824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78278 (or 78264 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 59.

The spelling of 1464054957824 in words is "one trillion, four hundred sixty-four billion, fifty-four million, nine hundred fifty-seven thousand, eight hundred twenty-four".