144904896864 has 576 divisors, whose sum is σ = 537264838656. Its totient is φ = 37394970624.

The previous prime is 144904896847. The next prime is 144904896919. The reversal of 144904896864 is 468698409441.

144904896864 is a `hidden beast` number, since 1 + 4 + 4 + 90 + 489 + 6 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33255774 + ... + 33260130.

It is an arithmetic number, because the mean of its divisors is an integer number (932751456).

Almost surely, 2^144904896864 is an apocalyptic number.

144904896864 is a gapful number since it is divisible by the number (14) 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 144904896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268632419328).

144904896864 is an abundant number, since it is smaller than the sum of its proper divisors (392359941792).

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

144904896864 is a wasteful number, since it uses less digits than its factorization.

144904896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 144904896864 in words is "one hundred forty-four billion, nine hundred four million, eight hundred ninety-six thousand, eight hundred sixty-four".