848979802801 has 9 divisors (see below), whose sum is σ = 919322461281. Its totient is φ = 783662607312.

The previous prime is 848979802763. The next prime is 848979802859. The reversal of 848979802801 is 108208979848.

The square root of 848979802801 is 921401.

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

It can be written as a sum of positive squares in 4 ways, for example, as 80061268401 + 768918534400 = 282951^2 + 876880^2 .

It is not a de Polignac number, because 848979802801 - 2²⁵ = 848946248369 is a prime.

It is a super-4 number, since 4×848979802801⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (848979802301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11942775 + ... + 12013651.

Almost surely, 2^848979802801 is an apocalyptic number.

848979802801 is the 921401-st square number.

848979802801 is the 460701-st centered octagonal number.

It is an amenable number.

848979802801 is a deficient number, since it is larger than the sum of its proper divisors (70342658480).

848979802801 is an frugal number, since it uses more digits than its factorization.

848979802801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141780 (or 70890 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 64.

Multiplying 848979802801 by its sum of digits (64), we get a square (54334707379264 = 7371208²).

The spelling of 848979802801 in words is "eight hundred forty-eight billion, nine hundred seventy-nine million, eight hundred two thousand, eight hundred one".