11029357050048 has 336 divisors, whose sum is σ = 32768365833216. Its totient is φ = 3544682618880.

The previous prime is 11029357050037. The next prime is 11029357050163. The reversal of 11029357050048 is 84005075392011.

11029357050048 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 9 + 35 + 70 + 500 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11029357049985 and 11029357050012.

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, 2780274561 + ... + 2780278527.

Almost surely, 2^{11029357050048} is an apocalyptic number.

11029357050048 is a gapful number since it is divisible by the number (18) 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 11029357050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384182916608).

11029357050048 is an abundant number, since it is smaller than the sum of its proper divisors (21739008783168).

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

11029357050048 is a wasteful number, since it uses less digits than its factorization.

11029357050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 11029357050048 in words is "eleven trillion, twenty-nine billion, three hundred fifty-seven million, fifty thousand, forty-eight".