65677114214712 has 2304 divisors, whose sum is σ = 260203423334400. Its totient is φ = 15248580480000.

The previous prime is 65677114214711. The next prime is 65677114214717. The reversal of 65677114214712 is 21741241177656.

65677114214712 is a `hidden beast` number, since 6 + 5 + 67 + 71 + 1 + 42 + 1 + 471 + 2 = 666.

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 (65677114214711) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 57060915337 + ... + 57060916487.

It is an arithmetic number, because the mean of its divisors is an integer number (112935513600).

Almost surely, 2^{65677114214712} 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 65677114214712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130101711667200).

65677114214712 is an abundant number, since it is smaller than the sum of its proper divisors (194526309119688).

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

65677114214712 is a wasteful number, since it uses less digits than its factorization.

65677114214712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1317 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 65677114214712 in words is "sixty-five trillion, six hundred seventy-seven billion, one hundred fourteen million, two hundred fourteen thousand, seven hundred twelve".