12378057408 has 168 divisors, whose sum is σ = 37844803152. Its totient is φ = 3854548992.

The previous prime is 12378057401. The next prime is 12378057431. The reversal of 12378057408 is 80475087321.

12378057408 is a `hidden beast` number, since 1 + 2 + 3 + 78 + 0 + 574 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12378057401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336891 + ... + 1346117.

Almost surely, 2^12378057408 is an apocalyptic number.

12378057408 is a gapful number since it is divisible by the number (18) 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 12378057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922401576).

12378057408 is an abundant number, since it is smaller than the sum of its proper divisors (25466745744).

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

12378057408 is a wasteful number, since it uses less digits than its factorization.

12378057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9399 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12378057408 in words is "twelve billion, three hundred seventy-eight million, fifty-seven thousand, four hundred eight".