179901990144 has 216 divisors, whose sum is σ = 538786626560. Its totient is φ = 59952213504.

The previous prime is 179901990139. The next prime is 179901990173. The reversal of 179901990144 is 441099109971.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45347649 + ... + 45351615.

Almost surely, 2^179901990144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 179901990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269393313280).

179901990144 is an abundant number, since it is smaller than the sum of its proper divisors (358884636416).

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

179901990144 is an frugal number, since it uses more digits than its factorization.

179901990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 179901990144 in words is "one hundred seventy-nine billion, nine hundred one million, nine hundred ninety thousand, one hundred forty-four".