19148281152 has 672 divisors, whose sum is σ = 71062193664. Its totient is φ = 4470681600.

The previous prime is 19148281129. The next prime is 19148281157. The reversal of 19148281152 is 25118284191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19148281157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57849627 + ... + 57849957.

It is an arithmetic number, because the mean of its divisors is an integer number (105747312).

Almost surely, 2^19148281152 is an apocalyptic number.

19148281152 is a gapful number since it is divisible by the number (12) 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 19148281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35531096832).

19148281152 is an abundant number, since it is smaller than the sum of its proper divisors (51913912512).

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

19148281152 is a wasteful number, since it uses less digits than its factorization.

19148281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its digits is 46080, while the sum is 42.

The spelling of 19148281152 in words is "nineteen billion, one hundred forty-eight million, two hundred eighty-one thousand, one hundred fifty-two".