29242897344 has 420 divisors, whose sum is σ = 93409846200. Its totient is φ = 9043107840.

The previous prime is 29242897309. The next prime is 29242897351. The reversal of 29242897344 is 44379824292.

29242897344 is a `hidden beast` number, since 2 + 92 + 428 + 97 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196260982 + ... + 196261130.

Almost surely, 2^29242897344 is an apocalyptic number.

29242897344 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 29242897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46704923100).

29242897344 is an abundant number, since it is smaller than the sum of its proper divisors (64166948856).

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

29242897344 is a wasteful number, since it uses less digits than its factorization.

29242897344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 302 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 29242897344 in words is "twenty-nine billion, two hundred forty-two million, eight hundred ninety-seven thousand, three hundred forty-four".