4560437128324 has 189 divisors, whose sum is σ = 10270565637591. Its totient is φ = 1770515263440.

The previous prime is 4560437128319. The next prime is 4560437128349. The reversal of 4560437128324 is 4238217340654.

The square root of 4560437128324 is 2135518.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16114618687 + ... + 16114618969.

Almost surely, 2^{4560437128324} is an apocalyptic number.

4560437128324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4560437128324 is the 2135518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4560437128324

4560437128324 is an abundant number, since it is smaller than the sum of its proper divisors (5710128509267).

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

4560437128324 is an frugal number, since it uses more digits than its factorization.

4560437128324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

Multiplying 4560437128324 by its sum of digits (49), we get a square (223461419287876 = 14948626²).

4560437128324 divided by its sum of digits (49) gives a square (93070145476 = 305074²).

The spelling of 4560437128324 in words is "four trillion, five hundred sixty billion, four hundred thirty-seven million, one hundred twenty-eight thousand, three hundred twenty-four".