452113421760 has 2016 divisors, whose sum is σ = 2151421534080. Its totient is φ = 84766556160.

The previous prime is 452113421729. The next prime is 452113421761. The reversal of 452113421760 is 67124311254.

452113421760 is a `hidden beast` number, since 4 + 52 + 113 + 421 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×452113421760² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452113421761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1680718906 + ... + 1680719174.

It is an arithmetic number, because the mean of its divisors is an integer number (1067173380).

Almost surely, 2^452113421760 is an apocalyptic number.

452113421760 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 452113421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075710767040).

452113421760 is an abundant number, since it is smaller than the sum of its proper divisors (1699308112320).

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

452113421760 is a wasteful number, since it uses less digits than its factorization.

452113421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 452113421760 in words is "four hundred fifty-two billion, one hundred thirteen million, four hundred twenty-one thousand, seven hundred sixty".