29833049769138 has 192 divisors, whose sum is σ = 82554076200960. Its totient is φ = 7561796860800.

The previous prime is 29833049769101. The next prime is 29833049769167. The reversal of 29833049769138 is 83196794033892.

29833049769138 is a `hidden beast` number, since 2 + 98 + 3 + 30 + 497 + 6 + 9 + 13 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9348123 + ... + 12126561.

It is an arithmetic number, because the mean of its divisors is an integer number (429969146880).

Almost surely, 2^{29833049769138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29833049769138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277038100480).

29833049769138 is an abundant number, since it is smaller than the sum of its proper divisors (52721026431822).

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

29833049769138 is a wasteful number, since it uses less digits than its factorization.

29833049769138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778653 (or 2778650 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 29833049769138 in words is "twenty-nine trillion, eight hundred thirty-three billion, forty-nine million, seven hundred sixty-nine thousand, one hundred thirty-eight".