12148711344 has 320 divisors, whose sum is σ = 43621493760. Its totient is φ = 3144960000.

The previous prime is 12148711331. The next prime is 12148711361. The reversal of 12148711344 is 44311784121.

12148711344 is a `hidden beast` number, since 1 + 21 + 487 + 113 + 44 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12148711299 and 12148711308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17330194 + ... + 17330894.

It is an arithmetic number, because the mean of its divisors is an integer number (136317168).

Almost surely, 2^12148711344 is an apocalyptic number.

12148711344 is a gapful number since it is divisible by the number (14) 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 12148711344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21810746880).

12148711344 is an abundant number, since it is smaller than the sum of its proper divisors (31472782416).

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

12148711344 is a wasteful number, since it uses less digits than its factorization.

12148711344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1245 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The spelling of 12148711344 in words is "twelve billion, one hundred forty-eight million, seven hundred eleven thousand, three hundred forty-four".