29956553134564 has 81 divisors (see below), whose sum is σ = 61376555450889. Its totient is φ = 12756194025120.

The previous prime is 29956553134531. The next prime is 29956553134709. The reversal of 29956553134564 is 46543135565992.

The square root of 29956553134564 is 5473258.

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., 19546638060964 + 10409915073600 = 4421158^2 + 3226440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29956553134564.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12796476034 + ... + 12796478374.

Almost surely, 2^{29956553134564} is an apocalyptic number.

29956553134564 is the 5473258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29956553134564

29956553134564 is an abundant number, since it is smaller than the sum of its proper divisors (31420002316325).

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

29956553134564 is an frugal number, since it uses more digits than its factorization.

29956553134564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 2517 counting only the distinct ones).

The product of its digits is 524880000, while the sum is 67.

The spelling of 29956553134564 in words is "twenty-nine trillion, nine hundred fifty-six billion, five hundred fifty-three million, one hundred thirty-four thousand, five hundred sixty-four".