1387093575168 has 240 divisors, whose sum is σ = 4595317309440. Its totient is φ = 394564497408.

The previous prime is 1387093575151. The next prime is 1387093575169. The reversal of 1387093575168 is 8615753907831.

1387093575168 is a `hidden beast` number, since 1 + 3 + 87 + 0 + 9 + 35 + 7 + 516 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387093575169) 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, 7227393 + ... + 7416831.

It is an arithmetic number, because the mean of its divisors is an integer number (19147155456).

Almost surely, 2^{1387093575168} is an apocalyptic number.

1387093575168 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 1387093575168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297658654720).

1387093575168 is an abundant number, since it is smaller than the sum of its proper divisors (3208223734272).

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

1387093575168 is a wasteful number, since it uses less digits than its factorization.

1387093575168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189697 (or 189678 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 1387093575168 in words is "one trillion, three hundred eighty-seven billion, ninety-three million, five hundred seventy-five thousand, one hundred sixty-eight".