454123387872 has 768 divisors, whose sum is σ = 1750271846400. Its totient is φ = 111089664000.

The previous prime is 454123387811. The next prime is 454123387873. The reversal of 454123387872 is 278783321454.

It is a happy number.

454123387872 is a `hidden beast` number, since 4 + 541 + 23 + 3 + 8 + 7 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454123387873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79098922 + ... + 79104662.

It is an arithmetic number, because the mean of its divisors is an integer number (2278999800).

Almost surely, 2^454123387872 is an apocalyptic number.

454123387872 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 454123387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875135923200).

454123387872 is an abundant number, since it is smaller than the sum of its proper divisors (1296148458528).

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

454123387872 is a wasteful number, since it uses less digits than its factorization.

454123387872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5834 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 454123387872 in words is "four hundred fifty-four billion, one hundred twenty-three million, three hundred eighty-seven thousand, eight hundred seventy-two".