29243132766864 has 45 divisors (see below), whose sum is σ = 81840337893769. Its totient is φ = 9747689291520.

The previous prime is 29243132766847. The next prime is 29243132766899. The reversal of 29243132766864 is 46866723134292.

It is a happy number.

The square root of 29243132766864 is 5407692.

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

29243132766864 is a `hidden beast` number, since 2 + 9 + 243 + 1 + 3 + 276 + 68 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29139397240464 + 103735526400 = 5398092^2 + 322080^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 64666984 + ... + 65117624.

Almost surely, 2^{29243132766864} is an apocalyptic number.

29243132766864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29243132766864 is the 5407692-nd square number.

It is an amenable number.

29243132766864 is an abundant number, since it is smaller than the sum of its proper divisors (52597205126905).

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

29243132766864 is an frugal number, since it uses more digits than its factorization.

29243132766864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901296 (or 450646 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 29243132766864 in words is "twenty-nine trillion, two hundred forty-three billion, one hundred thirty-two million, seven hundred sixty-six thousand, eight hundred sixty-four".