12380449536 has 468 divisors, whose sum is σ = 45623118352. Its totient is φ = 3265173504.

The previous prime is 12380449513. The next prime is 12380449589. The reversal of 12380449536 is 63594408321.

12380449536 is a `hidden beast` number, since 123 + 8 + 0 + 4 + 495 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a junction number, because it is equal to n+sod(n) for n = 12380449491 and 12380449500.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 952342266 + ... + 952342278.

Almost surely, 2^12380449536 is an apocalyptic number.

12380449536 is a gapful number since it is divisible by the number (16) 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 12380449536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811559176).

12380449536 is an abundant number, since it is smaller than the sum of its proper divisors (33242668816).

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

12380449536 is an frugal number, since it uses more digits than its factorization.

12380449536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12380449536 in words is "twelve billion, three hundred eighty million, four hundred forty-nine thousand, five hundred thirty-six".