29145085849152 has 336 divisors, whose sum is σ = 108865471059072. Its totient is φ = 7234461941760.

The previous prime is 29145085849151. The next prime is 29145085849223. The reversal of 29145085849152 is 25194858054192.

29145085849152 is a `hidden beast` number, since 2 + 9 + 1 + 45 + 0 + 8 + 58 + 491 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 29145085849152.

It is not an unprimeable number, because it can be changed into a prime (29145085849151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15462874 + ... + 17245017.

It is an arithmetic number, because the mean of its divisors is an integer number (324004378152).

Almost surely, 2^{29145085849152} is an apocalyptic number.

It is an amenable number.

29145085849152 is an abundant number, since it is smaller than the sum of its proper divisors (79720385209920).

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

29145085849152 is a wasteful number, since it uses less digits than its factorization.

29145085849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32707946 (or 32707933 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 29145085849152 in words is "twenty-nine trillion, one hundred forty-five billion, eighty-five million, eight hundred forty-nine thousand, one hundred fifty-two".