826460991801 has 45 divisors (see below), whose sum is σ = 1250671332031. Its totient is φ = 543888476928.

The previous prime is 826460991793. The next prime is 826460991833. The reversal of 826460991801 is 108199064628.

The square root of 826460991801 is 909099.

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

826460991801 is a `hidden beast` number, since 8 + 26 + 4 + 609 + 9 + 1 + 8 + 0 + 1 = 666.

826460991801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 277344423225 + 549116568576 = 526635^2 + 741024^2 .

It is not a de Polignac number, because 826460991801 - 2³ = 826460991793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826460991901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 679096345 + ... + 679097561.

Almost surely, 2^826460991801 is an apocalyptic number.

826460991801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

826460991801 is the 909099-th square number.

826460991801 is the 454550-th centered octagonal number.

It is an amenable number.

826460991801 is a deficient number, since it is larger than the sum of its proper divisors (424210340230).

826460991801 is an frugal number, since it uses more digits than its factorization.

826460991801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 826460991801 in words is "eight hundred twenty-six billion, four hundred sixty million, nine hundred ninety-one thousand, eight hundred one".