46281674880 has 384 divisors, whose sum is σ = 183100020480. Its totient is φ = 10552467456.

The previous prime is 46281674869. The next prime is 46281674909. The reversal of 46281674880 is 8847618264.

46281674880 is a `hidden beast` number, since 4 + 628 + 1 + 6 + 7 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19634662 + ... + 19637018.

It is an arithmetic number, because the mean of its divisors is an integer number (476822970).

Almost surely, 2^46281674880 is an apocalyptic number.

46281674880 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 46281674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91550010240).

46281674880 is an abundant number, since it is smaller than the sum of its proper divisors (136818345600).

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

46281674880 is a wasteful number, since it uses less digits than its factorization.

46281674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 46281674880 in words is "forty-six billion, two hundred eighty-one million, six hundred seventy-four thousand, eight hundred eighty".