454804235061120 has 3840 divisors, whose sum is σ = 2030763185510400. Its totient is φ = 96528095870976.

The previous prime is 454804235061067. The next prime is 454804235061131. The reversal of 454804235061120 is 21160532408454.

454804235061120 is a `hidden beast` number, since 4 + 5 + 4 + 8 + 0 + 4 + 2 + 3 + 5 + 0 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 212227826769 + ... + 212227828911.

It is an arithmetic number, because the mean of its divisors is an integer number (528844579560).

Almost surely, 2^{454804235061120} is an apocalyptic number.

454804235061120 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 454804235061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015381592755200).

454804235061120 is an abundant number, since it is smaller than the sum of its proper divisors (1575958950449280).

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

454804235061120 is a wasteful number, since it uses less digits than its factorization.

454804235061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

Adding to 454804235061120 its reverse (21160532408454), we get a palindrome (475964767469574).

The spelling of 454804235061120 in words is "four hundred fifty-four trillion, eight hundred four billion, two hundred thirty-five million, sixty-one thousand, one hundred twenty".