556377138171904 has 351 divisors, whose sum is σ = 1331131567467177. Its totient is φ = 231839784271872.

The previous prime is 556377138171871. The next prime is 556377138171929. The reversal of 556377138171904 is 409171831773655.

The square root of 556377138171904 is 23587648.

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., 497853903769600 + 58523234402304 = 22312640^2 + 7650048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 556377138171904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 390988852537 + ... + 390988853959.

Almost surely, 2^{556377138171904} is an apocalyptic number.

556377138171904 is the 23587648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556377138171904

556377138171904 is an abundant number, since it is smaller than the sum of its proper divisors (774754429295273).

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

556377138171904 is an frugal number, since it uses more digits than its factorization.

556377138171904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 67.

The spelling of 556377138171904 in words is "five hundred fifty-six trillion, three hundred seventy-seven billion, one hundred thirty-eight million, one hundred seventy-one thousand, nine hundred four".