29413460145524 has 384 divisors, whose sum is σ = 69787026828288. Its totient is φ = 10518944808960.

The previous prime is 29413460145467. The next prime is 29413460145529. The reversal of 29413460145524 is 42554106431492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29413460145529) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4848103139 + ... + 4848109205.

It is an arithmetic number, because the mean of its divisors is an integer number (181737049032).

Almost surely, 2^{29413460145524} 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 29413460145524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34893513414144).

29413460145524 is an abundant number, since it is smaller than the sum of its proper divisors (40373566682764).

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

29413460145524 is a wasteful number, since it uses less digits than its factorization.

29413460145524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 29413460145524 in words is "twenty-nine trillion, four hundred thirteen billion, four hundred sixty million, one hundred forty-five thousand, five hundred twenty-four".