29913448950 has 432 divisors, whose sum is σ = 107371967040. Its totient is φ = 5887728000.

The previous prime is 29913448919. The next prime is 29913448963. The reversal of 29913448950 is 5984431992.

29913448950 is a `hidden beast` number, since 29 + 9 + 134 + 489 + 5 + 0 = 666.

It is a super-2 number, since 2×29913448950² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4605205 + ... + 4611695.

It is an arithmetic number, because the mean of its divisors is an integer number (248546220).

Almost surely, 2^29913448950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29913448950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53685983520).

29913448950 is an abundant number, since it is smaller than the sum of its proper divisors (77458518090).

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

29913448950 is a wasteful number, since it uses less digits than its factorization.

29913448950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 29913448950 in words is "twenty-nine billion, nine hundred thirteen million, four hundred forty-eight thousand, nine hundred fifty".