65014585352145 has 192 divisors, whose sum is σ = 137722874688000. Its totient is φ = 28904724288000.

The previous prime is 65014585352137. The next prime is 65014585352179. The reversal of 65014585352145 is 54125358541056.

65014585352145 is a `hidden beast` number, since 6 + 5 + 0 + 1 + 4 + 585 + 3 + 52 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 65014585352145 - 2³ = 65014585352137 is a prime.

It is a super-2 number, since 2×65014585352145² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65014585352091 and 65014585352100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31051831 + ... + 33079379.

It is an arithmetic number, because the mean of its divisors is an integer number (717306639000).

Almost surely, 2^{65014585352145} is an apocalyptic number.

65014585352145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65014585352145 is an abundant number, since it is smaller than the sum of its proper divisors (72708289335855).

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

65014585352145 is a wasteful number, since it uses less digits than its factorization.

65014585352145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027749 (or 2027732 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 65014585352145 in words is "sixty-five trillion, fourteen billion, five hundred eighty-five million, three hundred fifty-two thousand, one hundred forty-five".