29146219050 has 192 divisors, whose sum is σ = 80198616960. Its totient is φ = 6958586880.

The previous prime is 29146219027. The next prime is 29146219061. The reversal of 29146219050 is 5091264192.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44227621 + ... + 44228279.

It is an arithmetic number, because the mean of its divisors is an integer number (417701130).

Almost surely, 2^29146219050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29146219050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40099308480).

29146219050 is an abundant number, since it is smaller than the sum of its proper divisors (51052397910).

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

29146219050 is a wasteful number, since it uses less digits than its factorization.

29146219050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 29146219050 in words is "twenty-nine billion, one hundred forty-six million, two hundred nineteen thousand, fifty".