978340570321 has 27 divisors (see below), whose sum is σ = 1053450305233. Its totient is φ = 908399542400.

The previous prime is 978340570267. The next prime is 978340570331. The reversal of 978340570321 is 123075043879.

The square root of 978340570321 is 989111.

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 406859001025 + 571481569296 = 637855^2 + 755964^2 .

It is not a de Polignac number, because 978340570321 - 2⁹ = 978340569809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (978340570331) 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 26 ways as a sum of consecutive naturals, for example, 1395635271 + ... + 1395635971.

Almost surely, 2^978340570321 is an apocalyptic number.

978340570321 is the 989111-st square number.

978340570321 is the 494556-th centered octagonal number.

It is an amenable number.

978340570321 is a deficient number, since it is larger than the sum of its proper divisors (75109734912).

978340570321 is an frugal number, since it uses more digits than its factorization.

978340570321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 978340570321 by its sum of digits (49), we get a square (47938687945729 = 6923777²).

The spelling of 978340570321 in words is "nine hundred seventy-eight billion, three hundred forty million, five hundred seventy thousand, three hundred twenty-one".