64364222246346 has 128 divisors (see below), whose sum is σ = 159810140160000. Its totient is φ = 19033186999680.

The previous prime is 64364222246321. The next prime is 64364222246381.

64364222246346 is a `hidden beast` number, since 6 + 4 + 36 + 4 + 2 + 22 + 246 + 346 = 666.

64364222246346 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64364222246292 and 64364222246301.

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, 26605030 + ... + 28923278.

It is an arithmetic number, because the mean of its divisors is an integer number (1248516720000).

Almost surely, 2^{64364222246346} is an apocalyptic number.

64364222246346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64364222246346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79905070080000).

64364222246346 is an abundant number, since it is smaller than the sum of its proper divisors (95445917913654).

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

64364222246346 is a wasteful number, since it uses less digits than its factorization.

64364222246346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319401 (or 2319395 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 64364222246346 in words is "sixty-four trillion, three hundred sixty-four billion, two hundred twenty-two million, two hundred forty-six thousand, three hundred forty-six".