450676329525 has 216 divisors, whose sum is σ = 885136097664. Its totient is φ = 218337638400.

The previous prime is 450676329511. The next prime is 450676329533. The reversal of 450676329525 is 525923676054.

It is a happy number.

450676329525 is a `hidden beast` number, since 4 + 50 + 6 + 7 + 63 + 2 + 9 + 525 = 666.

450676329525 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 450676329525 - 2⁹ = 450676329013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2135906670 + ... + 2135906880.

It is an arithmetic number, because the mean of its divisors is an integer number (4097852304).

Almost surely, 2^450676329525 is an apocalyptic number.

450676329525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450676329525 is a deficient number, since it is larger than the sum of its proper divisors (434459768139).

450676329525 is a wasteful number, since it uses less digits than its factorization.

450676329525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 450676329525 in words is "four hundred fifty billion, six hundred seventy-six million, three hundred twenty-nine thousand, five hundred twenty-five".