19129053312 has 224 divisors, whose sum is σ = 59115451500. Its totient is φ = 6155606016.

The previous prime is 19129053311. The next prime is 19129053319. The reversal of 19129053312 is 21335092191.

19129053312 is a `hidden beast` number, since 1 + 9 + 1 + 290 + 53 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19050624576 + 78428736 = 138024^2 + 8856^2 .

It is a super-2 number, since 2×19129053312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19129053311) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2702514 + ... + 2709582.

Almost surely, 2^19129053312 is an apocalyptic number.

19129053312 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 19129053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29557725750).

19129053312 is an abundant number, since it is smaller than the sum of its proper divisors (39986398188).

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

19129053312 is an frugal number, since it uses more digits than its factorization.

19129053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 19129053312 in words is "nineteen billion, one hundred twenty-nine million, fifty-three thousand, three hundred twelve".