1101137856 has 448 divisors, whose sum is σ = 3932651520. Its totient is φ = 263761920.

The previous prime is 1101137839. The next prime is 1101137929. The reversal of 1101137856 is 6587311011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10290955 + ... + 10291061.

It is an arithmetic number, because the mean of its divisors is an integer number (8778240).

Almost surely, 2^1101137856 is an apocalyptic number.

1101137856 is a gapful number since it is divisible by the number (16) 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 1101137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966325760).

1101137856 is an abundant number, since it is smaller than the sum of its proper divisors (2831513664).

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

1101137856 is a wasteful number, since it uses less digits than its factorization.

1101137856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 1101137856 is about 33183.3972944302. The cubic root of 1101137856 is about 1032.6359279875.

Adding to 1101137856 its reverse (6587311011), we get a palindrome (7688448867).

The spelling of 1101137856 in words is "one billion, one hundred one million, one hundred thirty-seven thousand, eight hundred fifty-six".