29600146960152 has 64 divisors (see below), whose sum is σ = 77070805344000. Its totient is φ = 9464835703680.

The previous prime is 29600146960133. The next prime is 29600146960157. The reversal of 29600146960152 is 25106964100692.

It is a junction number, because it is equal to n+sod(n) for n = 29600146960095 and 29600146960104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29600146960157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234679902 + ... + 234805997.

It is an arithmetic number, because the mean of its divisors is an integer number (1204231333500).

Almost surely, 2^{29600146960152} is an apocalyptic number.

It is an amenable number.

29600146960152 is an abundant number, since it is smaller than the sum of its proper divisors (47470658383848).

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

29600146960152 is a wasteful number, since it uses less digits than its factorization.

29600146960152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469486016 (or 469486012 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 29600146960152 in words is "twenty-nine trillion, six hundred billion, one hundred forty-six million, nine hundred sixty thousand, one hundred fifty-two".