11131121978904 has 256 divisors, whose sum is σ = 30944349388800. Its totient is φ = 3320769536000.

The previous prime is 11131121978903. The next prime is 11131121978917. The reversal of 11131121978904 is 40987912113111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131121978903) 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, 228226729 + ... + 228275495.

It is an arithmetic number, because the mean of its divisors is an integer number (120876364800).

Almost surely, 2^{11131121978904} 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 11131121978904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472174694400).

11131121978904 is an abundant number, since it is smaller than the sum of its proper divisors (19813227409896).

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

11131121978904 is a wasteful number, since it uses less digits than its factorization.

11131121978904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49114 (or 49110 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 48.

The spelling of 11131121978904 in words is "eleven trillion, one hundred thirty-one billion, one hundred twenty-one million, nine hundred seventy-eight thousand, nine hundred four".