64116544561146 has 192 divisors, whose sum is σ = 179028556922880. Its totient is φ = 16649563629600.

The previous prime is 64116544561067. The next prime is 64116544561159.

It is a happy number.

64116544561146 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 6 + 544 + 56 + 1 + 1 + 46 = 666.

64116544561146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64116544561146² (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 = 64116544561092 and 64116544561101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188590891 + ... + 188930561.

It is an arithmetic number, because the mean of its divisors is an integer number (932440400640).

Almost surely, 2^{64116544561146} is an apocalyptic number.

64116544561146 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 64116544561146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89514278461440).

64116544561146 is an abundant number, since it is smaller than the sum of its proper divisors (114912012361734).

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

64116544561146 is a wasteful number, since it uses less digits than its factorization.

64116544561146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343838 (or 343821 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 64116544561146 in words is "sixty-four trillion, one hundred sixteen billion, five hundred forty-four million, five hundred sixty-one thousand, one hundred forty-six".