64163888836146 has 48 divisors (see below), whose sum is σ = 152913490206048. Its totient is φ = 19443602670360.

The previous prime is 64163888836127. The next prime is 64163888836147.

64163888836146 is a `hidden beast` number, since 6 + 416 + 38 + 8 + 8 + 8 + 36 + 146 = 666.

64163888836146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64163888836146² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64163888836147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339067136 + ... + 1339115051.

It is an arithmetic number, because the mean of its divisors is an integer number (3185697712626).

Almost surely, 2^{64163888836146} is an apocalyptic number.

64163888836146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64163888836146 is an abundant number, since it is smaller than the sum of its proper divisors (88749601369902).

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

64163888836146 is a wasteful number, since it uses less digits than its factorization.

64163888836146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678182228 (or 2678182203 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 64163888836146 in words is "sixty-four trillion, one hundred sixty-three billion, eight hundred eighty-eight million, eight hundred thirty-six thousand, one hundred forty-six".