387803862121 has 9 divisors (see below), whose sum is σ = 419938392279. Its totient is φ = 357965322936.

The previous prime is 387803862091. The next prime is 387803862133. The reversal of 387803862121 is 121268308783.

The square root of 387803862121 is 622739.

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., 57367435225 + 330436426896 = 239515^2 + 574836^2 .

It is not a de Polignac number, because 387803862121 - 2⁷ = 387803861993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (387803862161) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 8071656 + ... + 8119558.

Almost surely, 2^387803862121 is an apocalyptic number.

387803862121 is the 622739-th square number.

387803862121 is the 311370-th centered octagonal number.

It is an amenable number.

387803862121 is a deficient number, since it is larger than the sum of its proper divisors (32134530158).

387803862121 is an frugal number, since it uses more digits than its factorization.

387803862121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95832 (or 47916 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 387803862121 by its sum of digits (49), we get a square (19002389243929 = 4359173²).

It can be divided in two parts, 387803 and 862121, that added together give a square (1249924 = 1118²).

The spelling of 387803862121 in words is "three hundred eighty-seven billion, eight hundred three million, eight hundred sixty-two thousand, one hundred twenty-one".