65414516544 has 140 divisors (see below), whose sum is σ = 208825420804. Its totient is φ = 20127522816.

The previous prime is 65414516543. The next prime is 65414516593. The reversal of 65414516544 is 44561541456.

65414516544 is a `hidden beast` number, since 6 + 54 + 1 + 4 + 51 + 6 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42225318144 + 23189198400 = 205488^2 + 152280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 65414516544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65414516543) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 417937 + ... + 552720.

Almost surely, 2^65414516544 is an apocalyptic number.

65414516544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65414516544 is an abundant number, since it is smaller than the sum of its proper divisors (143410904260).

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

65414516544 is a wasteful number, since it uses less digits than its factorization.

65414516544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970694 (or 970675 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 65414516544 in words is "sixty-five billion, four hundred fourteen million, five hundred sixteen thousand, five hundred forty-four".