1387338163848 has 288 divisors, whose sum is σ = 4719389875200. Its totient is φ = 364931433216.

The previous prime is 1387338163837. The next prime is 1387338163889. The reversal of 1387338163848 is 8483618337831.

1387338163848 is a `hidden beast` number, since 138 + 7 + 338 + 163 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17526423 + ... + 17605401.

It is an arithmetic number, because the mean of its divisors is an integer number (16386770400).

Almost surely, 2^{1387338163848} is an apocalyptic number.

1387338163848 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 1387338163848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359694937600).

1387338163848 is an abundant number, since it is smaller than the sum of its proper divisors (3332051711352).

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

1387338163848 is a wasteful number, since it uses less digits than its factorization.

1387338163848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79401 (or 79387 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 1387338163848 in words is "one trillion, three hundred eighty-seven billion, three hundred thirty-eight million, one hundred sixty-three thousand, eight hundred forty-eight".