4505431602672 has 2560 divisors, whose sum is σ = 19305431040000. Its totient is φ = 990357580800.

The previous prime is 4505431602649. The next prime is 4505431602713. The reversal of 4505431602672 is 2762061345054.

4505431602672 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 4 + 31 + 602 + 6 + 7 + 2 = 666.

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 511 ways as a sum of consecutive naturals, for example, 145336503297 + ... + 145336503327.

It is an arithmetic number, because the mean of its divisors is an integer number (7541184000).

Almost surely, 2^{4505431602672} is an apocalyptic number.

4505431602672 is a gapful number since it is divisible by the number (42) 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 4505431602672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652715520000).

4505431602672 is an abundant number, since it is smaller than the sum of its proper divisors (14799999437328).

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

4505431602672 is a wasteful number, since it uses less digits than its factorization.

4505431602672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 4505431602672 in words is "four trillion, five hundred five billion, four hundred thirty-one million, six hundred two thousand, six hundred seventy-two".