452650457088 has 960 divisors, whose sum is σ = 1506939033600. Its totient is φ = 134886850560.

The previous prime is 452650457087. The next prime is 452650457099. The reversal of 452650457088 is 880754056254.

452650457088 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 504 + 57 + 0 + 88 = 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 (452650457081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5085960148 + ... + 5085960236.

It is an arithmetic number, because the mean of its divisors is an integer number (1569728160).

Almost surely, 2^452650457088 is an apocalyptic number.

452650457088 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 452650457088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753469516800).

452650457088 is an abundant number, since it is smaller than the sum of its proper divisors (1054288576512).

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

452650457088 is a wasteful number, since it uses less digits than its factorization.

452650457088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 452650457088 in words is "four hundred fifty-two billion, six hundred fifty million, four hundred fifty-seven thousand, eighty-eight".