144606011402016 has 144 divisors (see below), whose sum is σ = 423050069647296. Its totient is φ = 46833380725248.

The previous prime is 144606011402009. The next prime is 144606011402077. The reversal of 144606011402016 is 610204110606441.

144606011402016 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 0 + 601 + 1 + 40 + 2 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44416470 + ... + 47560853.

It is an arithmetic number, because the mean of its divisors is an integer number (2937847705884).

Almost surely, 2^{144606011402016} is an apocalyptic number.

144606011402016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144606011402016 is an abundant number, since it is smaller than the sum of its proper divisors (278444058245280).

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

144606011402016 is a wasteful number, since it uses less digits than its factorization.

144606011402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91977495 (or 91977484 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 144606011402016 in words is "one hundred forty-four trillion, six hundred six billion, eleven million, four hundred two thousand, sixteen".