19047312144 has 405 divisors, whose sum is σ = 65305611189. Its totient is φ = 5167169280.

The previous prime is 19047312133. The next prime is 19047312157. The reversal of 19047312144 is 44121374091.

The square root of 19047312144 is 138012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13731152400 + 5316159744 = 117180^2 + 72912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 19047312099 and 19047312108.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 359383222 + ... + 359383274.

Almost surely, 2^19047312144 is an apocalyptic number.

19047312144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19047312144 is the 138012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19047312144

19047312144 is an abundant number, since it is smaller than the sum of its proper divisors (46258299045).

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

19047312144 is a wasteful number, since it uses less digits than its factorization.

19047312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 19047312144 by its sum of digits (36), we get a square (685703237184 = 828072²).

19047312144 divided by its sum of digits (36) gives a square (529092004 = 23002²).

The spelling of 19047312144 in words is "nineteen billion, forty-seven million, three hundred twelve thousand, one hundred forty-four".