10842808436964 has 81 divisors (see below), whose sum is σ = 31883426717961. Its totient is φ = 3097905753600.

The previous prime is 10842808436951. The next prime is 10842808436969. The reversal of 10842808436964 is 46963480824801.

The square root of 10842808436964 is 3292842.

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

10842808436964 is a `hidden beast` number, since 10 + 8 + 428 + 0 + 84 + 3 + 69 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10842255246564 + 553190400 = 3292758^2 + 23520^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10842808436969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138260164 + ... + 138338564.

Almost surely, 2^{10842808436964} is an apocalyptic number.

10842808436964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10842808436964 is the 3292842-nd square number.

It is an amenable number.

10842808436964 is an abundant number, since it is smaller than the sum of its proper divisors (21040618280997).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10842808436964 is an frugal number, since it uses more digits than its factorization.

10842808436964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156826 (or 78413 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 10842808436964 in words is "ten trillion, eight hundred forty-two billion, eight hundred eight million, four hundred thirty-six thousand, nine hundred sixty-four".