29744494424064 has 1872 divisors, whose sum is σ = 110317669203456. Its totient is φ = 7825666867200.

The previous prime is 29744494424041. The next prime is 29744494424087. The reversal of 29744494424064 is 46042449444792.

It is a happy number.

29744494424064 is a `hidden beast` number, since 2 + 9 + 7 + 4 + 4 + 494 + 42 + 40 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (29744494424041) and next prime (29744494424087).

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

It is a junction number, because it is equal to n+sod(n) for n = 29744494423992 and 29744494424010.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 227057209279 + ... + 227057209409.

It is an arithmetic number, because the mean of its divisors is an integer number (58930378848).

Almost surely, 2^{29744494424064} is an apocalyptic number.

29744494424064 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 29744494424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55158834601728).

29744494424064 is an abundant number, since it is smaller than the sum of its proper divisors (80573174779392).

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

29744494424064 is an frugal number, since it uses more digits than its factorization.

29744494424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 29744494424064 in words is "twenty-nine trillion, seven hundred forty-four billion, four hundred ninety-four million, four hundred twenty-four thousand, sixty-four".