46013031064 has 288 divisors, whose sum is σ = 122528367360. Its totient is φ = 15819598080.

The previous prime is 46013030983. The next prime is 46013031109.

46013031064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 26337439 + ... + 26339185.

It is an arithmetic number, because the mean of its divisors is an integer number (425445720).

Almost surely, 2^46013031064 is an apocalyptic number.

46013031064 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 46013031064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61264183680).

46013031064 is an abundant number, since it is smaller than the sum of its proper divisors (76515336296).

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

46013031064 is a wasteful number, since it uses less digits than its factorization.

46013031064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 460130 and 31064, that added together give a palindrome (491194).

The spelling of 46013031064 in words is "forty-six billion, thirteen million, thirty-one thousand, sixty-four".