81540741363516 has 48 divisors (see below), whose sum is σ = 211544665157280. Its totient is φ = 27161894436480.

The previous prime is 81540741363503. The next prime is 81540741363517. The reversal of 81540741363516 is 61536314704518.

81540741363516 is a `hidden beast` number, since 8 + 1 + 5 + 40 + 74 + 13 + 6 + 3 + 516 = 666.

It is a super-2 number, since 2×81540741363516² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81540741363517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254737711 + ... + 255057606.

It is an arithmetic number, because the mean of its divisors is an integer number (4407180524110).

Almost surely, 2^{81540741363516} is an apocalyptic number.

It is an amenable number.

81540741363516 is an abundant number, since it is smaller than the sum of its proper divisors (130003923793764).

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

81540741363516 is a wasteful number, since it uses less digits than its factorization.

81540741363516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509796811 (or 509796803 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 81540741363516 in words is "eighty-one trillion, five hundred forty billion, seven hundred forty-one million, three hundred sixty-three thousand, five hundred sixteen".