1452600382464 has 1056 divisors, whose sum is σ = 5549939066880. Its totient is φ = 354734899200.

The previous prime is 1452600382421. The next prime is 1452600382481. The reversal of 1452600382464 is 4642830062541.

1452600382464 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 600 + 38 + 2 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×1452600382464² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 995612967 + ... + 995614425.

Almost surely, 2^{1452600382464} is an apocalyptic number.

1452600382464 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 1452600382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774969533440).

1452600382464 is an abundant number, since it is smaller than the sum of its proper divisors (4097338684416).

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

1452600382464 is a wasteful number, since it uses less digits than its factorization.

1452600382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1452600382464 in words is "one trillion, four hundred fifty-two billion, six hundred million, three hundred eighty-two thousand, four hundred sixty-four".