46400606208 has 624 divisors, whose sum is σ = 158978267136. Its totient is φ = 12881756160.

The previous prime is 46400606159. The next prime is 46400606209. The reversal of 46400606208 is 80260600464.

It is a happy number.

46400606208 is a `hidden beast` number, since 4 + 6 + 40 + 0 + 606 + 2 + 0 + 8 = 666.

It is a super-4 number, since 4×46400606208⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46400606209) 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, 365359041 + ... + 365359167.

It is an arithmetic number, because the mean of its divisors is an integer number (254772864).

Almost surely, 2^46400606208 is an apocalyptic number.

46400606208 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 46400606208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79489133568).

46400606208 is an abundant number, since it is smaller than the sum of its proper divisors (112577660928).

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

46400606208 is a wasteful number, since it uses less digits than its factorization.

46400606208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 46400606208 in words is "forty-six billion, four hundred million, six hundred six thousand, two hundred eight".