452515798001664 has 1152 divisors, whose sum is σ = 1452001166179200. Its totient is φ = 140380424110080.

The previous prime is 452515798001587. The next prime is 452515798001741. The reversal of 452515798001664 is 466100897515254.

It is a happy number.

452515798001664 is a `hidden beast` number, since 4 + 5 + 2 + 51 + 579 + 8 + 0 + 0 + 1 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (452515798001587) and next prime (452515798001741).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193963049842 + ... + 193963052174.

It is an arithmetic number, because the mean of its divisors is an integer number (1260417678975).

Almost surely, 2^{452515798001664} 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 452515798001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726000583089600).

452515798001664 is an abundant number, since it is smaller than the sum of its proper divisors (999485368177536).

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

452515798001664 is a wasteful number, since it uses less digits than its factorization.

452515798001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 452515798001664 in words is "four hundred fifty-two trillion, five hundred fifteen billion, seven hundred ninety-eight million, one thousand, six hundred sixty-four".