387918454561 has 27 divisors (see below), whose sum is σ = 437359805337. Its totient is φ = 343802712000.

The previous prime is 387918454559. The next prime is 387918454571. The reversal of 387918454561 is 165454819783.

The square root of 387918454561 is 622831.

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

It can be written as a sum of positive squares in 4 ways, for example, as 127185670161 + 260732784400 = 356631^2 + 510620^2 .

It is not a de Polignac number, because 387918454561 - 2¹ = 387918454559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 387918454561.

It is not an unprimeable number, because it can be changed into a prime (387918454541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280896091 + ... + 280897471.

Almost surely, 2^387918454561 is an apocalyptic number.

387918454561 is the 622831-st square number.

387918454561 is the 311416-th centered octagonal number.

It is an amenable number.

387918454561 is a deficient number, since it is larger than the sum of its proper divisors (49441350776).

387918454561 is an frugal number, since it uses more digits than its factorization.

387918454561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 1433 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 61.

The spelling of 387918454561 in words is "three hundred eighty-seven billion, nine hundred eighteen million, four hundred fifty-four thousand, five hundred sixty-one".