452878368768 has 192 divisors, whose sum is σ = 1495201471920. Its totient is φ = 129393229824.

The previous prime is 452878368763. The next prime is 452878368797. The reversal of 452878368768 is 867863878254.

452878368768 is a `hidden beast` number, since 4 + 528 + 7 + 8 + 36 + 8 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 452878368696 and 452878368705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452878368763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1954696 + ... + 2174072.

Almost surely, 2^452878368768 is an apocalyptic number.

452878368768 is a gapful number since it is divisible by the number (48) 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 452878368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747600735960).

452878368768 is an abundant number, since it is smaller than the sum of its proper divisors (1042323103152).

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

452878368768 is an equidigital number, since it uses as much as digits as its factorization.

452878368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219420 (or 219389 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 452878368768 in words is "four hundred fifty-two billion, eight hundred seventy-eight million, three hundred sixty-eight thousand, seven hundred sixty-eight".