64164686197248 has 1440 divisors, whose sum is σ = 244739254256640. Its totient is φ = 15810745466880.

The previous prime is 64164686197229. The next prime is 64164686197301. The reversal of 64164686197248 is 84279168646146.

64164686197248 is a `hidden beast` number, since 6 + 4 + 16 + 468 + 61 + 97 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4900679790 + ... + 4900692882.

It is an arithmetic number, because the mean of its divisors is an integer number (169957815456).

Almost surely, 2^{64164686197248} 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 64164686197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122369627128320).

64164686197248 is an abundant number, since it is smaller than the sum of its proper divisors (180574568059392).

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

64164686197248 is a wasteful number, since it uses less digits than its factorization.

64164686197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210 (or 13178 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 64164686197248 in words is "sixty-four trillion, one hundred sixty-four billion, six hundred eighty-six million, one hundred ninety-seven thousand, two hundred forty-eight".