1388856523152 has 320 divisors, whose sum is σ = 4370667687936. Its totient is φ = 371486269440.

The previous prime is 1388856523139. The next prime is 1388856523181. The reversal of 1388856523152 is 2513256588831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1388856523092 and 1388856523101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73893468 + ... + 73912260.

Almost surely, 2^{1388856523152} is an apocalyptic number.

1388856523152 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 1388856523152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185333843968).

1388856523152 is an abundant number, since it is smaller than the sum of its proper divisors (2981811164784).

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

1388856523152 is a wasteful number, since it uses less digits than its factorization.

1388856523152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19038 (or 19032 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 57.

The spelling of 1388856523152 in words is "one trillion, three hundred eighty-eight billion, eight hundred fifty-six million, five hundred twenty-three thousand, one hundred fifty-two".