19132686144 has 672 divisors, whose sum is σ = 68165959680. Its totient is φ = 5051289600.

The previous prime is 19132686119. The next prime is 19132686169. The reversal of 19132686144 is 44168623191.

19132686144 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 26 + 8 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (19132686119) and next prime (19132686169).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19132686144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150651009 + ... + 150651135.

It is an arithmetic number, because the mean of its divisors is an integer number (101437440).

Almost surely, 2^19132686144 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 19132686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34082979840).

19132686144 is an abundant number, since it is smaller than the sum of its proper divisors (49033273536).

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

19132686144 is a wasteful number, since it uses less digits than its factorization.

19132686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 19132686144 in words is "nineteen billion, one hundred thirty-two million, six hundred eighty-six thousand, one hundred forty-four".