29134952952 has 128 divisors (see below), whose sum is σ = 87756963840. Its totient is φ = 7884282240.

The previous prime is 29134952927. The next prime is 29134953013. The reversal of 29134952952 is 25925943192.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29134952895 and 29134952904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185263 + ... + 304289.

It is an arithmetic number, because the mean of its divisors is an integer number (685601280).

Almost surely, 2^29134952952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29134952952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43878481920).

29134952952 is an abundant number, since it is smaller than the sum of its proper divisors (58622010888).

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

29134952952 is a wasteful number, since it uses less digits than its factorization.

29134952952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119121 (or 119117 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 51.

The spelling of 29134952952 in words is "twenty-nine billion, one hundred thirty-four million, nine hundred fifty-two thousand, nine hundred fifty-two".