11431124147264 has 224 divisors, whose sum is σ = 23948369111040. Its totient is φ = 5408450611200.

The previous prime is 11431124147251. The next prime is 11431124147297. The reversal of 11431124147264 is 46274142113411.

It is a super-2 number, since 2×11431124147264² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7466442179 + ... + 7466443709.

Almost surely, 2^{11431124147264} 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 11431124147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974184555520).

11431124147264 is an abundant number, since it is smaller than the sum of its proper divisors (12517244963776).

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

11431124147264 is a wasteful number, since it uses less digits than its factorization.

11431124147264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2279 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The spelling of 11431124147264 in words is "eleven trillion, four hundred thirty-one billion, one hundred twenty-four million, one hundred forty-seven thousand, two hundred sixty-four".