19001308144 has 320 divisors, whose sum is σ = 48956866560. Its totient is φ = 6985405440.

The previous prime is 19001308129. The next prime is 19001308163. The reversal of 19001308144 is 44180310091.

It is a super-2 number, since 2×19001308144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 63 ways as a sum of consecutive naturals, for example, 358515222 + ... + 358515274.

It is an arithmetic number, because the mean of its divisors is an integer number (152990208).

Almost surely, 2^19001308144 is an apocalyptic number.

19001308144 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 19001308144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478433280).

19001308144 is an abundant number, since it is smaller than the sum of its proper divisors (29955558416).

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

19001308144 is a wasteful number, since it uses less digits than its factorization.

19001308144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 19001308144 in words is "nineteen billion, one million, three hundred eight thousand, one hundred forty-four".