46061816064 has 288 divisors, whose sum is σ = 143746638336. Its totient is φ = 12938280960.

The previous prime is 46061816063. The next prime is 46061816117.

46061816064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46061816064² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46061816063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9619879 + ... + 9624665.

It is an arithmetic number, because the mean of its divisors is an integer number (499120272).

Almost surely, 2^46061816064 is an apocalyptic number.

46061816064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46061816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71873319168).

46061816064 is an abundant number, since it is smaller than the sum of its proper divisors (97684822272).

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

46061816064 is a wasteful number, since it uses less digits than its factorization.

46061816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 46061816064 in words is "forty-six billion, sixty-one million, eight hundred sixteen thousand, sixty-four".