46089608960 has 144 divisors (see below), whose sum is σ = 112666768032. Its totient is φ = 18059673600.

The previous prime is 46089608933. The next prime is 46089608987. The reversal of 46089608960 is 6980698064.

46089608960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46089608933) and next prime (46089608987).

It is a junction number, because it is equal to n+sod(n) for n = 46089608896 and 46089608905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21627095 + ... + 21629225.

Almost surely, 2^46089608960 is an apocalyptic number.

46089608960 is a gapful number since it is divisible by the number (40) 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 46089608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56333384016).

46089608960 is an abundant number, since it is smaller than the sum of its proper divisors (66577159072).

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

46089608960 is a wasteful number, since it uses less digits than its factorization.

46089608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 46089608960 in words is "forty-six billion, eighty-nine million, six hundred eight thousand, nine hundred sixty".