46983438964 has 72 divisors (see below), whose sum is σ = 104309299584. Its totient is φ = 18123864000.

The previous prime is 46983438947. The next prime is 46983438973.

46983438964 is nontrivially palindromic in base 10.

46983438964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46983438896 and 46983438905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273537 + ... + 410839.

It is an arithmetic number, because the mean of its divisors is an integer number (1448740272).

Almost surely, 2^46983438964 is an apocalyptic number.

46983438964 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 46983438964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52154649792).

46983438964 is an abundant number, since it is smaller than the sum of its proper divisors (57325860620).

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

46983438964 is a wasteful number, since it uses less digits than its factorization.

46983438964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137437 (or 137424 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 64.

The spelling of 46983438964 in words is "forty-six billion, nine hundred eighty-three million, four hundred thirty-eight thousand, nine hundred sixty-four".