1464303645504 has 896 divisors, whose sum is σ = 5149081497600. Its totient is φ = 404478406656.

The previous prime is 1464303645481. The next prime is 1464303645527. The reversal of 1464303645504 is 4055463034641.

1464303645504 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 30 + 3 + 64 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1464303645481) and next prime (1464303645527).

It is a self number, because there is not a number n which added to its sum of digits gives 1464303645504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4219895059 + ... + 4219895405.

Almost surely, 2^{1464303645504} is an apocalyptic number.

1464303645504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464303645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574540748800).

1464303645504 is an abundant number, since it is smaller than the sum of its proper divisors (3684777852096).

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

1464303645504 is an frugal number, since it uses more digits than its factorization.

1464303645504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 1464303645504 in words is "one trillion, four hundred sixty-four billion, three hundred three million, six hundred forty-five thousand, five hundred four".