10831144117248 has 2464 divisors, whose sum is σ = 43192930427136. Its totient is φ = 2632634597376.

The previous prime is 10831144117217. The next prime is 10831144117273. The reversal of 10831144117248 is 84271144113801.

10831144117248 is a `hidden beast` number, since 1 + 0 + 8 + 31 + 1 + 441 + 172 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 95850832840 + ... + 95850832952.

Almost surely, 2^{10831144117248} is an apocalyptic number.

10831144117248 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 10831144117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21596465213568).

10831144117248 is an abundant number, since it is smaller than the sum of its proper divisors (32361786309888).

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

10831144117248 is a wasteful number, since it uses less digits than its factorization.

10831144117248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10831144117248 in words is "ten trillion, eight hundred thirty-one billion, one hundred forty-four million, one hundred seventeen thousand, two hundred forty-eight".