81042253461456 has 160 divisors (see below), whose sum is σ = 240550220752896. Its totient is φ = 23030941248000.

The previous prime is 81042253461427. The next prime is 81042253461457. The reversal of 81042253461456 is 65416435224018.

It is a super-2 number, since 2×81042253461456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81042253461399 and 81042253461408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81042253461457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114569821 + ... + 115275011.

Almost surely, 2^{81042253461456} 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 81042253461456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120275110376448).

81042253461456 is an abundant number, since it is smaller than the sum of its proper divisors (159507967291440).

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

81042253461456 is a wasteful number, since it uses less digits than its factorization.

81042253461456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707041 (or 707035 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 81042253461456 in words is "eighty-one trillion, forty-two billion, two hundred fifty-three million, four hundred sixty-one thousand, four hundred fifty-six".