46060000006064 has 80 divisors (see below), whose sum is σ = 99198863723520. Its totient is φ = 20539701262080.

The previous prime is 46060000006043. The next prime is 46060000006081.

It is a happy number.

46060000006064 is nontrivially palindromic in base 10.

46060000006064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46060000006064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120877889 + ... + 121258335.

It is an arithmetic number, because the mean of its divisors is an integer number (1239985796544).

Almost surely, 2^{46060000006064} is an apocalyptic number.

46060000006064 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 46060000006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49599431861760).

46060000006064 is an abundant number, since it is smaller than the sum of its proper divisors (53138863717456).

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

46060000006064 is a wasteful number, since it uses less digits than its factorization.

46060000006064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393498 (or 393492 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 4606000000 and 6064, that added together give a palindrome (4606006064).

The spelling of 46060000006064 in words is "forty-six trillion, sixty billion, six thousand, sixty-four", and thus it is an eban number.