29946165963840 has 1176 divisors, whose sum is σ = 124546365207000. Its totient is φ = 6835168198656.

The previous prime is 29946165963803. The next prime is 29946165963937. The reversal of 29946165963840 is 4836956164992.

29946165963840 is a `hidden beast` number, since 2 + 9 + 9 + 461 + 6 + 5 + 96 + 38 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119887677504 + 29826278286336 = 346248^2 + 5461344^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

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 167 ways as a sum of consecutive naturals, for example, 10893474786 + ... + 10893477534.

Almost surely, 2^{29946165963840} is an apocalyptic number.

29946165963840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29946165963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62273182603500).

29946165963840 is an abundant number, since it is smaller than the sum of its proper divisors (94600199243160).

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

29946165963840 is an equidigital number, since it uses as much as digits as its factorization.

29946165963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 29946165963840 in words is "twenty-nine trillion, nine hundred forty-six billion, one hundred sixty-five million, nine hundred sixty-three thousand, eight hundred forty".