29445968664 has 192 divisors, whose sum is σ = 95571900000. Its totient is φ = 8375705856.

The previous prime is 29445968659. The next prime is 29445968687. The reversal of 29445968664 is 46686954492.

29445968664 is a `hidden beast` number, since 29 + 445 + 96 + 86 + 6 + 4 = 666.

It is a super-2 number, since 2×29445968664² (a number of 22 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 2417662 + ... + 2429810.

Almost surely, 2^29445968664 is an apocalyptic number.

29445968664 is a gapful number since it is divisible by the number (24) 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 29445968664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47785950000).

29445968664 is an abundant number, since it is smaller than the sum of its proper divisors (66125931336).

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

29445968664 is a wasteful number, since it uses less digits than its factorization.

29445968664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12407 (or 12390 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 29445968664 in words is "twenty-nine billion, four hundred forty-five million, nine hundred sixty-eight thousand, six hundred sixty-four".