46089856512 has 240 divisors, whose sum is σ = 153231716352. Its totient is φ = 13063680000.

The previous prime is 46089856511. The next prime is 46089856517. The reversal of 46089856512 is 21565898064.

46089856512 is a `hidden beast` number, since 4 + 60 + 8 + 9 + 8 + 565 + 12 = 666.

It is a super-2 number, since 2×46089856512² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46089856511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4090887 + ... + 4102137.

Almost surely, 2^46089856512 is an apocalyptic number.

46089856512 is a gapful number since it is divisible by the number (42) 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 46089856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76615858176).

46089856512 is an abundant number, since it is smaller than the sum of its proper divisors (107141859840).

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

46089856512 is a wasteful number, since it uses less digits than its factorization.

46089856512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 46089856512 in words is "forty-six billion, eighty-nine million, eight hundred fifty-six thousand, five hundred twelve".