452914574112 has 1152 divisors, whose sum is σ = 1852195258368. Its totient is φ = 105031987200.

The previous prime is 452914574087. The next prime is 452914574113. The reversal of 452914574112 is 211475419254.

It is a happy number.

452914574112 is a `hidden beast` number, since 4 + 52 + 9 + 14 + 574 + 1 + 12 = 666.

It is a super-2 number, since 2×452914574112² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (452914574113) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241296118 + ... + 241297994.

It is an arithmetic number, because the mean of its divisors is an integer number (1607808384).

Almost surely, 2^452914574112 is an apocalyptic number.

452914574112 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 452914574112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926097629184).

452914574112 is an abundant number, since it is smaller than the sum of its proper divisors (1399280684256).

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

452914574112 is a wasteful number, since it uses less digits than its factorization.

452914574112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1944 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 452914574112 in words is "four hundred fifty-two billion, nine hundred fourteen million, five hundred seventy-four thousand, one hundred twelve".