452384185955625 has 1215 divisors, whose sum is σ = 1089881908486371. Its totient is φ = 180091628640000.

The previous prime is 452384185955587. The next prime is 452384185955627. The reversal of 452384185955625 is 526559581483254.

The square root of 452384185955625 is 21269325.

It is a perfect power (a square), and thus also a powerful number.

452384185955625 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 8 + 4 + 1 + 8 + 59 + 5 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 338350235701401 + 114033950254224 = 18394299^2 + 10678668^2 .

It is not a de Polignac number, because 452384185955625 - 2²³ = 452384177567017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (452384185955627) by changing a digit.

It is a polite number, since it can be written in 1214 ways as a sum of consecutive naturals, for example, 3562080204312 + ... + 3562080204438.

Almost surely, 2^{452384185955625} is an apocalyptic number.

452384185955625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

452384185955625 is the 21269325-th square number.

452384185955625 is the 10634663-rd centered octagonal number.

It is an amenable number.

452384185955625 is an abundant number, since it is smaller than the sum of its proper divisors (637497722530746).

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

452384185955625 is a wasteful number, since it uses less digits than its factorization.

452384185955625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 182 counting only the distinct ones).

The product of its digits is 2073600000, while the sum is 72.

The spelling of 452384185955625 in words is "four hundred fifty-two trillion, three hundred eighty-four billion, one hundred eighty-five million, nine hundred fifty-five thousand, six hundred twenty-five".