1445735499264 has 640 divisors, whose sum is σ = 5034252072960. Its totient is φ = 401117184000.

The previous prime is 1445735499223. The next prime is 1445735499269. The reversal of 1445735499264 is 4629945375441.

1445735499264 is a `hidden beast` number, since 1 + 4 + 4 + 57 + 35 + 499 + 2 + 64 = 666.

It is a super-2 number, since 2×1445735499264² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445735499269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 517997709 + ... + 518000499.

It is an arithmetic number, because the mean of its divisors is an integer number (7866018864).

Almost surely, 2^{1445735499264} is an apocalyptic number.

1445735499264 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 1445735499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517126036480).

1445735499264 is an abundant number, since it is smaller than the sum of its proper divisors (3588516573696).

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

1445735499264 is a wasteful number, since it uses less digits than its factorization.

1445735499264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2957 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 1445735499264 in words is "one trillion, four hundred forty-five billion, seven hundred thirty-five million, four hundred ninety-nine thousand, two hundred sixty-four".