476998803801 has 45 divisors (see below), whose sum is σ = 771712623759. Its totient is φ = 293487998544.

The previous prime is 476998803763. The next prime is 476998803817. The reversal of 476998803801 is 108308899674.

The square root of 476998803801 is 690651.

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

476998803801 is a `hidden beast` number, since 476 + 9 + 9 + 8 + 80 + 3 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70561953225 + 406436850576 = 265635^2 + 637524^2 .

It is not a de Polignac number, because 476998803801 - 2³³ = 468408869209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (476998803871) 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 44 ways as a sum of consecutive naturals, for example, 80803216 + ... + 80809118.

Almost surely, 2^476998803801 is an apocalyptic number.

476998803801 is the 690651-st square number.

476998803801 is the 345326-th centered octagonal number.

It is an amenable number.

476998803801 is a deficient number, since it is larger than the sum of its proper divisors (294713819958).

476998803801 is an frugal number, since it uses more digits than its factorization.

476998803801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 476998803801 in words is "four hundred seventy-six billion, nine hundred ninety-eight million, eight hundred three thousand, eight hundred one".