46868886864 has 90 divisors (see below), whose sum is σ = 134809242750. Its totient is φ = 15200656128.

The previous prime is 46868886853. The next prime is 46868886917.

It is a happy number.

46868886864 is a `hidden beast` number, since 468 + 6 + 8 + 8 + 86 + 86 + 4 = 666.

46868886864 is nontrivially palindromic in base 10.

46868886864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 28042851600 + 18826035264 = 167460^2 + 137208^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 = 46868886792 and 46868886801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78262 + ... + 316010.

It is an arithmetic number, because the mean of its divisors is an integer number (1497880475).

Almost surely, 2^46868886864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46868886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67404621375).

46868886864 is an abundant number, since it is smaller than the sum of its proper divisors (87940355886).

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

46868886864 is a wasteful number, since it uses less digits than its factorization.

46868886864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237837 (or 237791 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

The spelling of 46868886864 in words is "forty-six billion, eight hundred sixty-eight million, eight hundred eighty-six thousand, eight hundred sixty-four".