8948970801 has 45 divisors (see below), whose sum is σ = 14005359291. Its totient is φ = 5694103008.

The previous prime is 8948970781. The next prime is 8948970809. The reversal of 8948970801 is 1080798498.

The square root of 8948970801 is 94599.

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

8948970801 is a `hidden beast` number, since 89 + 489 + 7 + 0 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7739600625 + 1209370176 = 87975^2 + 34776^2 .

It is not a de Polignac number, because 8948970801 - 2⁷ = 8948970673 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8948970809) 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, 19581765 + ... + 19582221.

Almost surely, 2^8948970801 is an apocalyptic number.

8948970801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8948970801 is the 94599-th square number.

8948970801 is the 47300-th centered octagonal number.

It is an amenable number.

8948970801 is a deficient number, since it is larger than the sum of its proper divisors (5056388490).

8948970801 is an frugal number, since it uses more digits than its factorization.

8948970801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The cubic root of 8948970801 is about 2076.1450728082.

The spelling of 8948970801 in words is "eight billion, nine hundred forty-eight million, nine hundred seventy thousand, eight hundred one".