29648137356 has 144 divisors (see below), whose sum is σ = 78362575200. Its totient is φ = 9439911936.

The previous prime is 29648137303. The next prime is 29648137403. The reversal of 29648137356 is 65373184692.

29648137356 is a `hidden beast` number, since 2 + 96 + 481 + 3 + 73 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54201075 + ... + 54201621.

It is an arithmetic number, because the mean of its divisors is an integer number (544184550).

Almost surely, 2^29648137356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29648137356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39181287600).

29648137356 is an abundant number, since it is smaller than the sum of its proper divisors (48714437844).

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

29648137356 is a wasteful number, since it uses less digits than its factorization.

29648137356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1043 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 29648137356 in words is "twenty-nine billion, six hundred forty-eight million, one hundred thirty-seven thousand, three hundred fifty-six".