46846886400 has 720 divisors, whose sum is σ = 187005218400. Its totient is φ = 11129978880.

The previous prime is 46846886399. The next prime is 46846886413. The reversal of 46846886400 is 468864864.

46846886400 is a `hidden beast` number, since 4 + 68 + 468 + 86 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×46846886400³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37208971 + ... + 37210229.

It is an arithmetic number, because the mean of its divisors is an integer number (259729470).

Almost surely, 2^46846886400 is an apocalyptic number.

46846886400 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 46846886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93502609200).

46846886400 is an abundant number, since it is smaller than the sum of its proper divisors (140158332000).

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

46846886400 is a wasteful number, since it uses less digits than its factorization.

46846886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 46846886400 in words is "forty-six billion, eight hundred forty-six million, eight hundred eighty-six thousand, four hundred".