65146701312 has 480 divisors, whose sum is σ = 237160535040. Its totient is φ = 16722984960.

The previous prime is 65146701299. The next prime is 65146701313. The reversal of 65146701312 is 21310764156.

65146701312 is a `hidden beast` number, since 6 + 514 + 6 + 7 + 0 + 131 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65146701313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31577593 + ... + 31579655.

It is an arithmetic number, because the mean of its divisors is an integer number (494084448).

Almost surely, 2^65146701312 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 65146701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118580267520).

65146701312 is an abundant number, since it is smaller than the sum of its proper divisors (172013833728).

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

65146701312 is a wasteful number, since it uses less digits than its factorization.

65146701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 65146701312 in words is "sixty-five billion, one hundred forty-six million, seven hundred one thousand, three hundred twelve".