65465463945120 has 384 divisors, whose sum is σ = 213556726333440. Its totient is φ = 16839743754240.

The previous prime is 65465463945113. The next prime is 65465463945137. The reversal of 65465463945120 is 2154936456456.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10769114241 + ... + 10769120319.

It is an arithmetic number, because the mean of its divisors is an integer number (556137308160).

Almost surely, 2^{65465463945120} is an apocalyptic number.

65465463945120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65465463945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106778363166720).

65465463945120 is an abundant number, since it is smaller than the sum of its proper divisors (148091262388320).

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

65465463945120 is a wasteful number, since it uses less digits than its factorization.

65465463945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 60.

The spelling of 65465463945120 in words is "sixty-five trillion, four hundred sixty-five billion, four hundred sixty-three million, nine hundred forty-five thousand, one hundred twenty".