29448342196416 has 1344 divisors, whose sum is σ = 107804902195200. Its totient is φ = 7815006904320.

The previous prime is 29448342196327. The next prime is 29448342196421. The reversal of 29448342196416 is 61469124384492.

29448342196416 is a `hidden beast` number, since 2 + 9 + 4 + 4 + 83 + 421 + 96 + 41 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (71663616) is a multiple of the sum of its prime divisors (3888).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7939696770 + ... + 7939700478.

It is an arithmetic number, because the mean of its divisors is an integer number (80211980800).

Almost surely, 2^{29448342196416} is an apocalyptic number.

29448342196416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29448342196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53902451097600).

29448342196416 is an abundant number, since it is smaller than the sum of its proper divisors (78356559998784).

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

29448342196416 is a wasteful number, since it uses less digits than its factorization.

29448342196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3888 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 29448342196416 in words is "twenty-nine trillion, four hundred forty-eight billion, three hundred forty-two million, one hundred ninety-six thousand, four hundred sixteen".