144369601600 has 567 divisors, whose sum is σ = 439431644757. Its totient is φ = 46543580160.

The previous prime is 144369601543. The next prime is 144369601609. The reversal of 144369601600 is 6106963441.

The square root of 144369601600 is 379960.

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., 51973056576 + 92396545024 = 227976^2 + 303968^2 .

It is a super-2 number, since 2×144369601600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (144369601609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2446942371 + ... + 2446942429.

Almost surely, 2^144369601600 is an apocalyptic number.

144369601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144369601600 is the 379960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144369601600

144369601600 is an abundant number, since it is smaller than the sum of its proper divisors (295062043157).

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

144369601600 is an equidigital number, since it uses as much as digits as its factorization.

144369601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 144369601600 in words is "one hundred forty-four billion, three hundred sixty-nine million, six hundred one thousand, six hundred".