144896112900000 has 4032 divisors, whose sum is σ = 676702940239872. Its totient is φ = 29649888000000.

The previous prime is 144896112899969. The next prime is 144896112900023. The reversal of 144896112900000 is 9211698441.

It is a happy number.

144896112900000 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 9 + 611 + 29 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 465903899845 + ... + 465903900155.

It is an arithmetic number, because the mean of its divisors is an integer number (167833070496).

Almost surely, 2^{144896112900000} is an apocalyptic number.

144896112900000 is a gapful number since it is divisible by the number (10) 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 144896112900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338351470119936).

144896112900000 is an abundant number, since it is smaller than the sum of its proper divisors (531806827339872).

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

144896112900000 is an frugal number, since it uses more digits than its factorization.

144896112900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 144896112900000 in words is "one hundred forty-four trillion, eight hundred ninety-six billion, one hundred twelve million, nine hundred thousand".