1387325911104 has 1323 divisors, whose sum is σ = 5194084273101. Its totient is φ = 366357841920.

The previous prime is 1387325911099. The next prime is 1387325911117. The reversal of 1387325911104 is 4011195237831.

The square root of 1387325911104 is 1177848.

It is a perfect power (a square), and thus also a powerful number.

1387325911104 is a `hidden beast` number, since 1 + 387 + 3 + 259 + 1 + 1 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66849136704 + 1320476774400 = 258552^2 + 1149120^2 .

It is a tau number, because it is divible by the number of its divisors (1323).

It is a self number, because there is not a number n which added to its sum of digits gives 1387325911104.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 33837217324 + ... + 33837217364.

Almost surely, 2^{1387325911104} is an apocalyptic number.

1387325911104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1387325911104 is the 1177848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387325911104

1387325911104 is an abundant number, since it is smaller than the sum of its proper divisors (3806758361997).

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

1387325911104 is an frugal number, since it uses more digits than its factorization.

1387325911104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1387325911104 in words is "one trillion, three hundred eighty-seven billion, three hundred twenty-five million, nine hundred eleven thousand, one hundred four".