4618372921600 has 81 divisors (see below), whose sum is σ = 11431620154353. Its totient is φ = 1847280399360.

The previous prime is 4618372921573. The next prime is 4618372921609. The reversal of 4618372921600 is 61292738164.

It is a happy number.

The square root of 4618372921600 is 2149040.

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

It can be written as a sum of positive squares in only one way, i.e., 1662614251776 + 2955758669824 = 1289424^2 + 1719232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4618372921609) 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 8 ways as a sum of consecutive naturals, for example, 171909769 + ... + 171936631.

Almost surely, 2^{4618372921600} is an apocalyptic number.

4618372921600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4618372921600 is the 2149040-th square number.

It is an amenable number.

4618372921600 is an abundant number, since it is smaller than the sum of its proper divisors (6813247232753).

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

4618372921600 is an frugal number, since it uses more digits than its factorization.

4618372921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53752 (or 26870 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 4618372921600 by its sum of digits (49), we get a square (226300273158400 = 15043280²).

The spelling of 4618372921600 in words is "four trillion, six hundred eighteen billion, three hundred seventy-two million, nine hundred twenty-one thousand, six hundred".