144187837214976 has 243 divisors, whose sum is σ = 420222071908821. Its totient is φ = 47548677537792.

The previous prime is 144187837214957. The next prime is 144187837214983. The reversal of 144187837214976 is 679412738781441.

The square root of 144187837214976 is 12007824.

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

144187837214976 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 87 + 8 + 37 + 21 + 497 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64745840390400 + 79441996824576 = 8046480^2 + 8913024^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 55908427255 + ... + 55908429833.

Almost surely, 2^{144187837214976} is an apocalyptic number.

144187837214976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144187837214976 is the 12007824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144187837214976

144187837214976 is an abundant number, since it is smaller than the sum of its proper divisors (276034234693845).

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

144187837214976 is an frugal number, since it uses more digits than its factorization.

144187837214976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 2681 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 144187837214976 in words is "one hundred forty-four trillion, one hundred eighty-seven billion, eight hundred thirty-seven million, two hundred fourteen thousand, nine hundred seventy-six".