454665536325 has 576 divisors, whose sum is σ = 1142431879680. Its totient is φ = 166772736000.

The previous prime is 454665536279. The next prime is 454665536341. The reversal of 454665536325 is 523635566454.

It is a happy number.

454665536325 is a `hidden beast` number, since 4 + 5 + 4 + 6 + 6 + 553 + 63 + 25 = 666.

It is not a de Polignac number, because 454665536325 - 2¹³ = 454665528133 is a prime.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 489413461 + ... + 489414389.

It is an arithmetic number, because the mean of its divisors is an integer number (1983388680).

Almost surely, 2^454665536325 is an apocalyptic number.

454665536325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

454665536325 is an abundant number, since it is smaller than the sum of its proper divisors (687766343355).

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

454665536325 is a wasteful number, since it uses less digits than its factorization.

454665536325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1062 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 54.

The spelling of 454665536325 in words is "four hundred fifty-four billion, six hundred sixty-five million, five hundred thirty-six thousand, three hundred twenty-five".