550958814756 has 405 divisors, whose sum is σ = 1727951323329. Its totient is φ = 152633642112.

The previous prime is 550958814743. The next prime is 550958814761. The reversal of 550958814756 is 657418859055.

The square root of 550958814756 is 742266.

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

550958814756 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 588 + 1 + 47 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 323635832100 + 227322982656 = 568890^2 + 476784^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 550958814693 and 550958814702.

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, 4021597120 + ... + 4021597256.

Almost surely, 2^550958814756 is an apocalyptic number.

550958814756 is the 742266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550958814756

550958814756 is an abundant number, since it is smaller than the sum of its proper divisors (1176992508573).

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

550958814756 is a wasteful number, since it uses less digits than its factorization.

550958814756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 550958814756 in words is "five hundred fifty billion, nine hundred fifty-eight million, eight hundred fourteen thousand, seven hundred fifty-six".