29374800400448 has 56 divisors (see below), whose sum is σ = 58840039397664. Its totient is φ = 14548985395200.

The previous prime is 29374800400433. The next prime is 29374800400499. The reversal of 29374800400448 is 84400400847392.

It is a self number, because there is not a number n which added to its sum of digits gives 29374800400448.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90032168 + ... + 90357848.

It is an arithmetic number, because the mean of its divisors is an integer number (1050714989244).

Almost surely, 2^{29374800400448} 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 29374800400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29420019698832).

29374800400448 is an abundant number, since it is smaller than the sum of its proper divisors (29465238997216).

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

29374800400448 is a wasteful number, since it uses less digits than its factorization.

29374800400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338971 (or 338961 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 53.

The spelling of 29374800400448 in words is "twenty-nine trillion, three hundred seventy-four billion, eight hundred million, four hundred thousand, four hundred forty-eight".