10026031964881 has 9 divisors (see below), whose sum is σ = 10264757303451. Its totient is φ = 9792735442392.

The previous prime is 10026031964857. The next prime is 10026031964887. The reversal of 10026031964881 is 18846913062001.

It is a happy number.

The square root of 10026031964881 is 3166391.

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., 9919570716225 + 106461248656 = 3149535^2 + 326284^2 .

It is not a de Polignac number, because 10026031964881 - 2⁵ = 10026031964849 is a prime.

It is a super-2 number, since 2×10026031964881² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10026031964887) 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, 136117995 + ... + 136191631.

Almost surely, 2^{10026031964881} is an apocalyptic number.

10026031964881 is the 3166391-st square number.

10026031964881 is the 1583196-th centered octagonal number.

It is an amenable number.

10026031964881 is a deficient number, since it is larger than the sum of its proper divisors (238725338570).

10026031964881 is an frugal number, since it uses more digits than its factorization.

10026031964881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147360 (or 73680 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 10026031964881 by its sum of digits (49), we get a square (491275566279169 = 22164737²).

The spelling of 10026031964881 in words is "ten trillion, twenty-six billion, thirty-one million, nine hundred sixty-four thousand, eight hundred eighty-one".