101411731456 has 288 divisors, whose sum is σ = 254129672160. Its totient is φ = 39494615040.

The previous prime is 101411731433. The next prime is 101411731501. The reversal of 101411731456 is 654137114101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234207016 + ... + 234207448.

It is an arithmetic number, because the mean of its divisors is an integer number (882394695).

Almost surely, 2^101411731456 is an apocalyptic number.

101411731456 is a gapful number since it is divisible by the number (16) 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 101411731456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127064836080).

101411731456 is an abundant number, since it is smaller than the sum of its proper divisors (152717940704).

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

101411731456 is an equidigital number, since it uses as much as digits as its factorization.

101411731456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 101411731456 its reverse (654137114101), we get a palindrome (755548845557).

The spelling of 101411731456 in words is "one hundred one billion, four hundred eleven million, seven hundred thirty-one thousand, four hundred fifty-six".