29143952656 has 225 divisors, whose sum is σ = 72411062661. Its totient is φ = 11357394048.

The previous prime is 29143952639. The next prime is 29143952657. The reversal of 29143952656 is 65625934192.

The square root of 29143952656 is 170716.

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., 4311235600 + 24832717056 = 65660^2 + 157584^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (29143952657) 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, 434984335 + ... + 434984401.

Almost surely, 2^29143952656 is an apocalyptic number.

29143952656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

29143952656 is the 170716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29143952656

29143952656 is an abundant number, since it is smaller than the sum of its proper divisors (43267110005).

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

29143952656 is an frugal number, since it uses more digits than its factorization.

29143952656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 89 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 52.

The spelling of 29143952656 in words is "twenty-nine billion, one hundred forty-three million, nine hundred fifty-two thousand, six hundred fifty-six".