452056105512000 has 2016 divisors, whose sum is σ = 1800637375380480. Its totient is φ = 108167786496000.

The previous prime is 452056105511993. The next prime is 452056105512101. The reversal of 452056105512000 is 215501650254.

452056105512000 is a `hidden beast` number, since 4 + 5 + 20 + 5 + 61 + 0 + 551 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 314146007281 + ... + 314146008719.

It is an arithmetic number, because the mean of its divisors is an integer number (893173301280).

Almost surely, 2^{452056105512000} is an apocalyptic number.

452056105512000 is a gapful number since it is divisible by the number (40) 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 452056105512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900318687690240).

452056105512000 is an abundant number, since it is smaller than the sum of its proper divisors (1348581269868480).

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

452056105512000 is a wasteful number, since it uses less digits than its factorization.

452056105512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 452056105512000 in words is "four hundred fifty-two trillion, fifty-six billion, one hundred five million, five hundred twelve thousand".