453513116160 has 1440 divisors, whose sum is σ = 1840149222912. Its totient is φ = 106420469760.

The previous prime is 453513116143. The next prime is 453513116183. The reversal of 453513116160 is 61611315354.

453513116160 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 1 + 31 + 1 + 616 + 0 = 666.

453513116160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6768852447 + ... + 6768852513.

Almost surely, 2^453513116160 is an apocalyptic number.

453513116160 is a gapful number since it is divisible by the number (40) 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 453513116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920074611456).

453513116160 is an abundant number, since it is smaller than the sum of its proper divisors (1386636106752).

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

453513116160 is an frugal number, since it uses more digits than its factorization.

453513116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 453513116160 in words is "four hundred fifty-three billion, five hundred thirteen million, one hundred sixteen thousand, one hundred sixty".