496204627473801 has 27 divisors (see below), whose sum is σ = 723916561946773. Its totient is φ = 327523351783200.

The previous prime is 496204627473799. The next prime is 496204627473811. The reversal of 496204627473801 is 108374726402694.

The square root of 496204627473801 is 22275651.

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

496204627473801 is a `hidden beast` number, since 4 + 9 + 6 + 20 + 4 + 62 + 7 + 473 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 402017136633225 + 94187490840576 = 20050365^2 + 9705024^2 .

It is not a de Polignac number, because 496204627473801 - 2¹ = 496204627473799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (496204627473811) 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, 6749485495 + ... + 6749559011.

Almost surely, 2^{496204627473801} is an apocalyptic number.

496204627473801 is the 22275651-st square number.

496204627473801 is the 11137826-th centered octagonal number.

It is an amenable number.

496204627473801 is a deficient number, since it is larger than the sum of its proper divisors (227711934472972).

496204627473801 is an frugal number, since it uses more digits than its factorization.

496204627473801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147242 (or 73621 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 496204627473801 in words is "four hundred ninety-six trillion, two hundred four billion, six hundred twenty-seven million, four hundred seventy-three thousand, eight hundred one".