4534230451968 has 864 divisors, whose sum is σ = 15743330942976. Its totient is φ = 1274868854784.

The previous prime is 4534230451963. The next prime is 4534230451973. The reversal of 4534230451968 is 8691540324354.

It is a happy number.

4534230451968 is a `hidden beast` number, since 4 + 5 + 34 + 2 + 30 + 4 + 519 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (4534230451963) and next prime (4534230451973).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4534230451963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9014374405 + ... + 9014374907.

Almost surely, 2^{4534230451968} is an apocalyptic number.

4534230451968 is a gapful number since it is divisible by the number (48) 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 4534230451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871665471488).

4534230451968 is an abundant number, since it is smaller than the sum of its proper divisors (11209100491008).

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

4534230451968 is a wasteful number, since it uses less digits than its factorization.

4534230451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4534230451968 in words is "four trillion, five hundred thirty-four billion, two hundred thirty million, four hundred fifty-one thousand, nine hundred sixty-eight".