29541630048 has 192 divisors, whose sum is σ = 96866316288. Its totient is φ = 7687618560.

The previous prime is 29541630043. The next prime is 29541630049. The reversal of 29541630048 is 84003614592.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29541629991 and 29541630009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29541630043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312436 + ... + 395852.

It is an arithmetic number, because the mean of its divisors is an integer number (504512064).

Almost surely, 2^29541630048 is an apocalyptic number.

29541630048 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 29541630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48433158144).

29541630048 is an abundant number, since it is smaller than the sum of its proper divisors (67324686240).

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

29541630048 is a wasteful number, since it uses less digits than its factorization.

29541630048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83485 (or 83477 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 29541630048 in words is "twenty-nine billion, five hundred forty-one million, six hundred thirty thousand, forty-eight".