10231731424824 has 384 divisors, whose sum is σ = 32922572544000. Its totient is φ = 2592290967552.

The previous prime is 10231731424727. The next prime is 10231731424843. The reversal of 10231731424824 is 42842413713201.

It is a super-2 number, since 2×10231731424824² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82928172 + ... + 83051460.

It is an arithmetic number, because the mean of its divisors is an integer number (85735866000).

Almost surely, 2^{10231731424824} is an apocalyptic number.

10231731424824 is a gapful number since it is divisible by the number (14) 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 10231731424824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461286272000).

10231731424824 is an abundant number, since it is smaller than the sum of its proper divisors (22690841119176).

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

10231731424824 is a wasteful number, since it uses less digits than its factorization.

10231731424824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123447 (or 123430 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 10231731424824 in words is "ten trillion, two hundred thirty-one billion, seven hundred thirty-one million, four hundred twenty-four thousand, eight hundred twenty-four".