1453450646664 has 320 divisors, whose sum is σ = 4452319872000. Its totient is φ = 441230146560.

The previous prime is 1453450646651. The next prime is 1453450646689. The reversal of 1453450646664 is 4666460543541.

It is a super-2 number, since 2×1453450646664² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1453450646664.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83183449 + ... + 83200919.

It is an arithmetic number, because the mean of its divisors is an integer number (13913499600).

Almost surely, 2^{1453450646664} 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 1453450646664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226159936000).

1453450646664 is an abundant number, since it is smaller than the sum of its proper divisors (2998869225336).

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

1453450646664 is a wasteful number, since it uses less digits than its factorization.

1453450646664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17770 (or 17757 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 1453450646664 in words is "one trillion, four hundred fifty-three billion, four hundred fifty million, six hundred forty-six thousand, six hundred sixty-four".