29998471344000 has 256 divisors, whose sum is σ = 102652838645760. Its totient is φ = 7741540608000.

The previous prime is 29998471343957. The next prime is 29998471344043. The reversal of 29998471344000 is 44317489992.

It is an interprime number because it is at equal distance from previous prime (29998471343957) and next prime (29998471344043).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8592132 + ... + 11568131.

It is an arithmetic number, because the mean of its divisors is an integer number (400987650960).

Almost surely, 2^{29998471344000} is an apocalyptic number.

29998471344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29998471344000 is an abundant number, since it is smaller than the sum of its proper divisors (72654367301760).

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

29998471344000 is a wasteful number, since it uses less digits than its factorization.

29998471344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20160326 (or 20160304 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 29998471344000 in words is "twenty-nine trillion, nine hundred ninety-eight billion, four hundred seventy-one million, three hundred forty-four thousand".