881722878001 has 27 divisors (see below), whose sum is σ = 1045808381163. Its totient is φ = 741209829360.

The previous prime is 881722877977. The next prime is 881722878013. The reversal of 881722878001 is 100878227188.

The square root of 881722878001 is 939001.

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., 635631480225 + 246091397776 = 797265^2 + 496076^2 .

It is not a de Polignac number, because 881722878001 - 2²¹ = 881720780849 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 881722878001.

It is not an unprimeable number, because it can be changed into a prime (881722878041) 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, 348368106 + ... + 348370636.

Almost surely, 2^881722878001 is an apocalyptic number.

881722878001 is the 939001-st square number.

881722878001 is the 469501-st centered octagonal number.

It is an amenable number.

881722878001 is a deficient number, since it is larger than the sum of its proper divisors (164085503162).

881722878001 is an frugal number, since it uses more digits than its factorization.

881722878001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 52.

The spelling of 881722878001 in words is "eight hundred eighty-one billion, seven hundred twenty-two million, eight hundred seventy-eight thousand, one".