70742078110561 has 45 divisors (see below), whose sum is σ = 84277843966755. Its totient is φ = 59352879334320.

The previous prime is 70742078110553. The next prime is 70742078110573. The reversal of 70742078110561 is 16501187024707.

The square root of 70742078110561 is 8410831.

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

It can be written as a sum of positive squares in only one way, i.e., 10464804454225 + 60277273656336 = 3234935^2 + 7763844^2 .

It is not a de Polignac number, because 70742078110561 - 2³ = 70742078110553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70742078110261) 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, 13230234490 + ... + 13230239836.

It is an arithmetic number, because the mean of its divisors is an integer number (1872840977039).

Almost surely, 2^{70742078110561} is an apocalyptic number.

70742078110561 is the 8410831-st square number.

70742078110561 is the 4205416-th centered octagonal number.

It is an amenable number.

70742078110561 is a deficient number, since it is larger than the sum of its proper divisors (13535765856194).

70742078110561 is an frugal number, since it uses more digits than its factorization.

70742078110561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 49.

The spelling of 70742078110561 in words is "seventy trillion, seven hundred forty-two billion, seventy-eight million, one hundred ten thousand, five hundred sixty-one".