46883238864 has 240 divisors, whose sum is σ = 157056614400. Its totient is φ = 11784326400.

The previous prime is 46883238859. The next prime is 46883238869.

46883238864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46883238859) and next prime (46883238869).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46883238798 and 46883238807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46883238869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1241737 + ... + 1278935.

It is an arithmetic number, because the mean of its divisors is an integer number (654402560).

Almost surely, 2^46883238864 is an apocalyptic number.

46883238864 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 46883238864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78528307200).

46883238864 is an abundant number, since it is smaller than the sum of its proper divisors (110173375536).

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

46883238864 is a wasteful number, since it uses less digits than its factorization.

46883238864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37270 (or 37253 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 60.

The spelling of 46883238864 in words is "forty-six billion, eight hundred eighty-three million, two hundred thirty-eight thousand, eight hundred sixty-four".