1453216128 has 288 divisors, whose sum is σ = 4872945960. Its totient is φ = 382427136.

The previous prime is 1453216123. The next prime is 1453216133. The reversal of 1453216128 is 8216123541.

It is an interprime number because it is at equal distance from previous prime (1453216123) and next prime (1453216133).

It is a super-2 number, since 2×1453216128² = 4223674229358624768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453216123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3179676 + ... + 3180132.

Almost surely, 2^1453216128 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 1453216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436472980).

1453216128 is an abundant number, since it is smaller than the sum of its proper divisors (3419729832).

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

1453216128 is a wasteful number, since it uses less digits than its factorization.

1453216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 482 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 1453216128 is about 38121.0719681386. The cubic root of 1453216128 is about 1132.6874006310.

Adding to 1453216128 its reverse (8216123541), we get a palindrome (9669339669).

The spelling of 1453216128 in words is "one billion, four hundred fifty-three million, two hundred sixteen thousand, one hundred twenty-eight".