29456521248 has 768 divisors, whose sum is σ = 108167270400. Its totient is φ = 6784942080.

The previous prime is 29456521243. The next prime is 29456521273. The reversal of 29456521248 is 84212565492.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 29456521197 and 29456521206.

It is not an unprimeable number, because it can be changed into a prime (29456521243) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 215011036 + ... + 215011172.

It is an arithmetic number, because the mean of its divisors is an integer number (140842800).

Almost surely, 2^29456521248 is an apocalyptic number.

29456521248 is a gapful number since it is divisible by the number (28) 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 29456521248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54083635200).

29456521248 is an abundant number, since it is smaller than the sum of its proper divisors (78710749152).

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

29456521248 is a wasteful number, since it uses less digits than its factorization.

29456521248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The spelling of 29456521248 in words is "twenty-nine billion, four hundred fifty-six million, five hundred twenty-one thousand, two hundred forty-eight".