46276566336 has 672 divisors, whose sum is σ = 180426774528. Its totient is φ = 10950266880.

The previous prime is 46276566317. The next prime is 46276566373. The reversal of 46276566336 is 63366567264.

46276566336 is a `hidden beast` number, since 4 + 6 + 2 + 76 + 566 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×46276566336⁴ (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47855325 + ... + 47856291.

It is an arithmetic number, because the mean of its divisors is an integer number (268492224).

Almost surely, 2^46276566336 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 46276566336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90213387264).

46276566336 is an abundant number, since it is smaller than the sum of its proper divisors (134150208192).

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

46276566336 is a wasteful number, since it uses less digits than its factorization.

46276566336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1086 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 54.

The spelling of 46276566336 in words is "forty-six billion, two hundred seventy-six million, five hundred sixty-six thousand, three hundred thirty-six".