144901236420864 has 1728 divisors, whose sum is σ = 570065773455360. Its totient is φ = 35563786076160.

The previous prime is 144901236420839. The next prime is 144901236420877. The reversal of 144901236420864 is 468024632109441.

144901236420864 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 0 + 12 + 364 + 208 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144901236420864.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39407459794 + ... + 39407463470.

Almost surely, 2^{144901236420864} is an apocalyptic number.

144901236420864 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 144901236420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285032886727680).

144901236420864 is an abundant number, since it is smaller than the sum of its proper divisors (425164537034496).

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

144901236420864 is a wasteful number, since it uses less digits than its factorization.

144901236420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 144901236420864 in words is "one hundred forty-four trillion, nine hundred one billion, two hundred thirty-six million, four hundred twenty thousand, eight hundred sixty-four".