29150962848 has 144 divisors (see below), whose sum is σ = 94891305600. Its totient is φ = 8315601408.

The previous prime is 29150962831. The next prime is 29150962921. The reversal of 29150962848 is 84826905192.

It is a happy number.

29150962848 is a `hidden beast` number, since 2 + 9 + 1 + 5 + 0 + 9 + 628 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×29150962848² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29150962794 and 29150962803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1293178 + ... + 1315526.

It is an arithmetic number, because the mean of its divisors is an integer number (658967400).

Almost surely, 2^29150962848 is an apocalyptic number.

29150962848 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 29150962848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47445652800).

29150962848 is an abundant number, since it is smaller than the sum of its proper divisors (65740342752).

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

29150962848 is a wasteful number, since it uses less digits than its factorization.

29150962848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23019 (or 23008 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 29150962848 in words is "twenty-nine billion, one hundred fifty million, nine hundred sixty-two thousand, eight hundred forty-eight".