11401125619968 has 432 divisors, whose sum is σ = 38534841945600. Its totient is φ = 3174638469120.

The previous prime is 11401125619967. The next prime is 11401125619993. The reversal of 11401125619968 is 86991652110411.

11401125619968 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 12 + 5 + 619 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11401125619967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107181913 + ... + 107288231.

Almost surely, 2^{11401125619968} is an apocalyptic number.

11401125619968 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 11401125619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267420972800).

11401125619968 is an abundant number, since it is smaller than the sum of its proper divisors (27133716325632).

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

11401125619968 is a wasteful number, since it uses less digits than its factorization.

11401125619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106518 (or 106501 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 11401125619968 in words is "eleven trillion, four hundred one billion, one hundred twenty-five million, six hundred nineteen thousand, nine hundred sixty-eight".