10331445075456 has 160 divisors (see below), whose sum is σ = 28461495097728. Its totient is φ = 3328405217280.

The previous prime is 10331445075449. The next prime is 10331445075467. The reversal of 10331445075456 is 65457054413301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4507251 + ... + 6401421.

Almost surely, 2^{10331445075456} is an apocalyptic number.

10331445075456 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 10331445075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230747548864).

10331445075456 is an abundant number, since it is smaller than the sum of its proper divisors (18130050022272).

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

10331445075456 is an equidigital number, since it uses as much as digits as its factorization.

10331445075456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894312 (or 1894296 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

Adding to 10331445075456 its reverse (65457054413301), we get a palindrome (75788499488757).

The spelling of 10331445075456 in words is "ten trillion, three hundred thirty-one billion, four hundred forty-five million, seventy-five thousand, four hundred fifty-six".