452993271552 has 144 divisors (see below), whose sum is σ = 1340295604480. Its totient is φ = 150917188608.

The previous prime is 452993271509. The next prime is 452993271569. The reversal of 452993271552 is 255172399254.

452993271552 is a `hidden beast` number, since 4 + 52 + 9 + 9 + 32 + 7 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13717653 + ... + 13750635.

Almost surely, 2^452993271552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452993271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670147802240).

452993271552 is an abundant number, since it is smaller than the sum of its proper divisors (887302332928).

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

452993271552 is a wasteful number, since it uses less digits than its factorization.

452993271552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34995 (or 34975 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 452993271552 in words is "four hundred fifty-two billion, nine hundred ninety-three million, two hundred seventy-one thousand, five hundred fifty-two".