453201000000 has 588 divisors, whose sum is σ = 1744124237424. Its totient is φ = 103555200000.

The previous prime is 453200999989. The next prime is 453201000017. The reversal of 453201000000 is 102354.

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-2 number, since 2×453201000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 146998459 + ... + 147001541.

Almost surely, 2^453201000000 is an apocalyptic number.

453201000000 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 453201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872062118712).

453201000000 is an abundant number, since it is smaller than the sum of its proper divisors (1290923237424).

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

453201000000 is an frugal number, since it uses more digits than its factorization.

453201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 453201000000 its reverse (102354), we get a palindrome (453201102354).

The spelling of 453201000000 in words is "four hundred fifty-three billion, two hundred one million", and thus it is an aban number.