144922037378976 has 2880 divisors, whose sum is σ = 543916893155328. Its totient is φ = 37510387200000.

The previous prime is 144922037378939. The next prime is 144922037378983. The reversal of 144922037378976 is 679873730229441.

144922037378976 is a `hidden beast` number, since 1 + 4 + 4 + 92 + 20 + 373 + 7 + 89 + 76 = 666.

144922037378976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 577378634851 + ... + 577378635101.

Almost surely, 2^{144922037378976} is an apocalyptic number.

144922037378976 is a gapful number since it is divisible by the number (16) 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 144922037378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271958446577664).

144922037378976 is an abundant number, since it is smaller than the sum of its proper divisors (398994855776352).

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

144922037378976 is a wasteful number, since it uses less digits than its factorization.

144922037378976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 144922037378976 in words is "one hundred forty-four trillion, nine hundred twenty-two billion, thirty-seven million, three hundred seventy-eight thousand, nine hundred seventy-six".