1011144535038 has 128 divisors (see below), whose sum is σ = 2475066585600. Its totient is φ = 303436224000.

The previous prime is 1011144535031. The next prime is 1011144535061. The reversal of 1011144535038 is 8305354411101.

1011144535038 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 144 + 5 + 3 + 503 + 8 = 666.

It is a super-2 number, since 2×1011144535038² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011144534993 and 1011144535011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011144535031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87319933 + ... + 87331511.

It is an arithmetic number, because the mean of its divisors is an integer number (19336457700).

Almost surely, 2^{1011144535038} is an apocalyptic number.

1011144535038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011144535038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237533292800).

1011144535038 is an abundant number, since it is smaller than the sum of its proper divisors (1463922050562).

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

1011144535038 is a wasteful number, since it uses less digits than its factorization.

1011144535038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13015 (or 13009 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 1011144535038 its reverse (8305354411101), we get a palindrome (9316498946139).

The spelling of 1011144535038 in words is "one trillion, eleven billion, one hundred forty-four million, five hundred thirty-five thousand, thirty-eight".