1386105928900 has 405 divisors, whose sum is σ = 3876684620445. Its totient is φ = 428924865600.

The previous prime is 1386105928769. The next prime is 1386105928927. The reversal of 1386105928900 is 98295016831.

The square root of 1386105928900 is 1177330.

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

It can be written as a sum of positive squares in only one way, i.e., 498998134404 + 887107794496 = 706398^2 + 941864^2 .

It is a super-2 number, since 2×1386105928900² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9971985031 + ... + 9971985169.

Almost surely, 2^{1386105928900} is an apocalyptic number.

1386105928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1386105928900 is the 1177330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386105928900

1386105928900 is an abundant number, since it is smaller than the sum of its proper divisors (2490578691545).

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

1386105928900 is an equidigital number, since it uses as much as digits as its factorization.

1386105928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 1386105928900 in words is "one trillion, three hundred eighty-six billion, one hundred five million, nine hundred twenty-eight thousand, nine hundred".