11137021142988 has 384 divisors, whose sum is σ = 31630478745600. Its totient is φ = 3016487485440.

The previous prime is 11137021142987. The next prime is 11137021143011. The reversal of 11137021142988 is 88924112073111.

It is not an unprimeable number, because it can be changed into a prime (11137021142987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291915738 + ... + 291953886.

It is an arithmetic number, because the mean of its divisors is an integer number (82371038400).

Almost surely, 2^{11137021142988} 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 11137021142988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815239372800).

11137021142988 is an abundant number, since it is smaller than the sum of its proper divisors (20493457602612).

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

11137021142988 is a wasteful number, since it uses less digits than its factorization.

11137021142988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38337 (or 38335 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 11137021142988 in words is "eleven trillion, one hundred thirty-seven billion, twenty-one million, one hundred forty-two thousand, nine hundred eighty-eight".