64134633643146 has 64 divisors (see below), whose sum is σ = 155487272371200. Its totient is φ = 19433565889200.

The previous prime is 64134633643139. The next prime is 64134633643163.

64134633643146 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 463 + 36 + 4 + 3 + 146 = 666.

64134633643146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64134633643146² (a number of 28 digits) contains 22 as substring.

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 = 64134633643092 and 64134633643101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6632745 + ... + 13124883.

It is an arithmetic number, because the mean of its divisors is an integer number (2429488630800).

Almost surely, 2^{64134633643146} is an apocalyptic number.

64134633643146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64134633643146 is an abundant number, since it is smaller than the sum of its proper divisors (91352638728054).

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

64134633643146 is a wasteful number, since it uses less digits than its factorization.

64134633643146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508792 (or 6508786 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 64134633643146 in words is "sixty-four trillion, one hundred thirty-four billion, six hundred thirty-three million, six hundred forty-three thousand, one hundred forty-six".