144676990080 has 896 divisors, whose sum is σ = 612191923200. Its totient is φ = 31979888640.

The previous prime is 144676990063. The next prime is 144676990103. The reversal of 144676990080 is 80099676441.

144676990080 is a `hidden beast` number, since 14 + 467 + 6 + 9 + 90 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 144676989999 and 144676990026.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101242806 + ... + 101244234.

Almost surely, 2^144676990080 is an apocalyptic number.

144676990080 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 144676990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306095961600).

144676990080 is an abundant number, since it is smaller than the sum of its proper divisors (467514933120).

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

144676990080 is an equidigital number, since it uses as much as digits as its factorization.

144676990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 144676990080 in words is "one hundred forty-four billion, six hundred seventy-six million, nine hundred ninety thousand, eighty".