29609946842112 has 4224 divisors, whose sum is σ = 124283621376000. Its totient is φ = 6782244618240.

The previous prime is 29609946842087. The next prime is 29609946842129. The reversal of 29609946842112 is 21124864990692.

29609946842112 is a `hidden beast` number, since 2 + 9 + 60 + 9 + 94 + 68 + 421 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 29609946842112.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 558678242278 + ... + 558678242330.

Almost surely, 2^{29609946842112} 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 29609946842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62141810688000).

29609946842112 is an abundant number, since it is smaller than the sum of its proper divisors (94673674533888).

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

29609946842112 is a wasteful number, since it uses less digits than its factorization.

29609946842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 29609946842112 in words is "twenty-nine trillion, six hundred nine billion, nine hundred forty-six million, eight hundred forty-two thousand, one hundred twelve".