452071958764608 has 672 divisors, whose sum is σ = 1688856917529600. Its totient is φ = 112198742507520.

The previous prime is 452071958764603. The next prime is 452071958764661. The reversal of 452071958764608 is 806467859170254.

452071958764608 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 7 + 1 + 9 + 5 + 8 + 7 + 6 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (452071958764603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7227453718 + ... + 7227516266.

It is an arithmetic number, because the mean of its divisors is an integer number (2513179936800).

Almost surely, 2^{452071958764608} is an apocalyptic number.

452071958764608 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 452071958764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844428458764800).

452071958764608 is an abundant number, since it is smaller than the sum of its proper divisors (1236784958764992).

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

452071958764608 is a wasteful number, since it uses less digits than its factorization.

452071958764608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70715 (or 70702 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 452071958764608 in words is "four hundred fifty-two trillion, seventy-one billion, nine hundred fifty-eight million, seven hundred sixty-four thousand, six hundred eight".