29946028383648 has 288 divisors, whose sum is σ = 93858085601280. Its totient is φ = 8998384711680.

The previous prime is 29946028383617. The next prime is 29946028383671. The reversal of 29946028383648 is 84638382064992.

29946028383648 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 602 + 8 + 3 + 8 + 3 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318674118 + ... + 1318696826.

It is an arithmetic number, because the mean of its divisors is an integer number (325896130560).

Almost surely, 2^{29946028383648} 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 29946028383648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46929042800640).

29946028383648 is an abundant number, since it is smaller than the sum of its proper divisors (63912057217632).

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

29946028383648 is a wasteful number, since it uses less digits than its factorization.

29946028383648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30972 (or 30961 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 29946028383648 in words is "twenty-nine trillion, nine hundred forty-six billion, twenty-eight million, three hundred eighty-three thousand, six hundred forty-eight".