46000000000064 has 112 divisors (see below), whose sum is σ = 102819173990400. Its totient is φ = 20229213350400.

The previous prime is 46000000000063. The next prime is 46000000000091.

46000000000064 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 45999999999955 and 46000000000045.

It is not an unprimeable number, because it can be changed into a prime (46000000000063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82194017 + ... + 82751775.

It is an arithmetic number, because the mean of its divisors is an integer number (918028339200).

Almost surely, 2^{46000000000064} is an apocalyptic number.

46000000000064 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 46000000000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51409586995200).

46000000000064 is an abundant number, since it is smaller than the sum of its proper divisors (56819173990336).

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

46000000000064 is a wasteful number, since it uses less digits than its factorization.

46000000000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561592 (or 561582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 460000000000 and 64, that added together give a palindrome (460000000064).

The spelling of 46000000000064 in words is "forty-six trillion, sixty-four", and thus it is an aban number and an eban number.