29631470139648 has 1296 divisors, whose sum is σ = 99693575741760. Its totient is φ = 8721103749120.

The previous prime is 29631470139589. The next prime is 29631470139653. The reversal of 29631470139648 is 84693107413692.

29631470139648 is a `hidden beast` number, since 2 + 9 + 6 + 31 + 470 + 1 + 3 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 129395065998 + ... + 129395066226.

Almost surely, 2^{29631470139648} 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 29631470139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49846787870880).

29631470139648 is an abundant number, since it is smaller than the sum of its proper divisors (70062105602112).

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

29631470139648 is an equidigital number, since it uses as much as digits as its factorization.

29631470139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 29631470139648 in words is "twenty-nine trillion, six hundred thirty-one billion, four hundred seventy million, one hundred thirty-nine thousand, six hundred forty-eight".