1464784874641 has 24 divisors (see below), whose sum is σ = 1631784193704. Its totient is φ = 1313743200000.

The previous prime is 1464784874633. The next prime is 1464784874671.

1464784874641 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 727487879041 + 737296995600 = 852929^2 + 858660^2 .

It is not a de Polignac number, because 1464784874641 - 2³ = 1464784874633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1464784874671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3220831 + ... + 3647371.

It is an arithmetic number, because the mean of its divisors is an integer number (67991008071).

Almost surely, 2^{1464784874641} is an apocalyptic number.

1464784874641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1464784874641 is a deficient number, since it is larger than the sum of its proper divisors (166999319063).

1464784874641 is a wasteful number, since it uses less digits than its factorization.

1464784874641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426945 (or 426934 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 64.

The spelling of 1464784874641 in words is "one trillion, four hundred sixty-four billion, seven hundred eighty-four million, eight hundred seventy-four thousand, six hundred forty-one".