65540067045124 has 45 divisors (see below), whose sum is σ = 133804628330037. Its totient is φ = 28088260143552.

The previous prime is 65540067045121. The next prime is 65540067045127. The reversal of 65540067045124 is 42154076004556.

The square root of 65540067045124 is 8095682.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (65540067045121) and next prime (65540067045127).

It can be written as a sum of positive squares in only one way, i.e., 4381410885124 + 61158656160000 = 2093182^2 + 7820400^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (65540067045121) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 793335532 + ... + 793418140.

Almost surely, 2^{65540067045124} is an apocalyptic number.

65540067045124 is the 8095682-nd square number.

It is an amenable number.

65540067045124 is an abundant number, since it is smaller than the sum of its proper divisors (68264561284913).

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

65540067045124 is an frugal number, since it uses more digits than its factorization.

65540067045124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165250 (or 82618 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 49.

65540067045124 divided by its sum of digits (49) gives a square (1337552388676 = 1156526²).

The spelling of 65540067045124 in words is "sixty-five trillion, five hundred forty billion, sixty-seven million, forty-five thousand, one hundred twenty-four".