29146349148 has 72 divisors (see below), whose sum is σ = 80604275472. Its totient is φ = 8170396416.

The previous prime is 29146349147. The next prime is 29146349149. The reversal of 29146349148 is 84194364192.

It is an interprime number because it is at equal distance from previous prime (29146349147) and next prime (29146349149).

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

It is a self number, because there is not a number n which added to its sum of digits gives 29146349148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29146349143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436465 + ... + 498792.

It is an arithmetic number, because the mean of its divisors is an integer number (1119503826).

Almost surely, 2^29146349148 is an apocalyptic number.

29146349148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29146349148 is an abundant number, since it is smaller than the sum of its proper divisors (51457926324).

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

29146349148 is a wasteful number, since it uses less digits than its factorization.

29146349148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935331 (or 935322 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 29146349148 in words is "twenty-nine billion, one hundred forty-six million, three hundred forty-nine thousand, one hundred forty-eight".