46346462208 has 198 divisors, whose sum is σ = 138307000182. Its totient is φ = 14947614720.

The previous prime is 46346462191. The next prime is 46346462231. The reversal of 46346462208 is 80226464364.

46346462208 is a `hidden beast` number, since 4 + 634 + 6 + 4 + 6 + 2 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45912489984 + 433972224 = 214272^2 + 20832^2 .

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, 8853960 + ... + 8859192.

Almost surely, 2^46346462208 is an apocalyptic number.

46346462208 is a gapful number since it is divisible by the number (48) 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 46346462208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69153500091).

46346462208 is an abundant number, since it is smaller than the sum of its proper divisors (91960537974).

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

46346462208 is a wasteful number, since it uses less digits than its factorization.

46346462208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 46346462208 in words is "forty-six billion, three hundred forty-six million, four hundred sixty-two thousand, two hundred eight".