19006516144 has 160 divisors (see below), whose sum is σ = 47846080512. Its totient is φ = 7097760000.

The previous prime is 19006516117. The next prime is 19006516159. The reversal of 19006516144 is 44161560091.

It is a super-2 number, since 2×19006516144² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4084219 + ... + 4088869.

Almost surely, 2^19006516144 is an apocalyptic number.

19006516144 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 19006516144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923040256).

19006516144 is an abundant number, since it is smaller than the sum of its proper divisors (28839564368).

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

19006516144 is a wasteful number, since it uses less digits than its factorization.

19006516144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 19006516144 in words is "nineteen billion, six million, five hundred sixteen thousand, one hundred forty-four".