19382149152 has 120 divisors (see below), whose sum is σ = 57067851456. Its totient is φ = 6453295488.

The previous prime is 19382149133. The next prime is 19382149169. The reversal of 19382149152 is 25194128391.

19382149152 is a `hidden beast` number, since 1 + 93 + 8 + 21 + 491 + 52 = 666.

It is a super-3 number, since 3×19382149152³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19382149098 and 19382149107.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2544133 + ... + 2551739.

Almost surely, 2^19382149152 is an apocalyptic number.

19382149152 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 19382149152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28533925728).

19382149152 is an abundant number, since it is smaller than the sum of its proper divisors (37685702304).

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

19382149152 is an equidigital number, since it uses as much as digits as its factorization.

19382149152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8612 (or 8595 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 19382149152 in words is "nineteen billion, three hundred eighty-two million, one hundred forty-nine thousand, one hundred fifty-two".