29392442670948 has 384 divisors, whose sum is σ = 84147494215680. Its totient is φ = 7798912450560.

The previous prime is 29392442670937. The next prime is 29392442670949. The reversal of 29392442670948 is 84907624429392.

It is not an unprimeable number, because it can be changed into a prime (29392442670949) 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, 17320236436 + ... + 17320238132.

It is an arithmetic number, because the mean of its divisors is an integer number (219134099520).

Almost surely, 2^{29392442670948} is an apocalyptic number.

29392442670948 is a gapful number since it is divisible by the number (28) 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 29392442670948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42073747107840).

29392442670948 is an abundant number, since it is smaller than the sum of its proper divisors (54755051544732).

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

29392442670948 is a wasteful number, since it uses less digits than its factorization.

29392442670948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 69.

The spelling of 29392442670948 in words is "twenty-nine trillion, three hundred ninety-two billion, four hundred forty-two million, six hundred seventy thousand, nine hundred forty-eight".