46094054032800 has 576 divisors, whose sum is σ = 172174830105600. Its totient is φ = 11888993894400.

The previous prime is 46094054032799. The next prime is 46094054032823. The reversal of 46094054032800 is 823045049064.

46094054032800 is a `hidden beast` number, since 4 + 60 + 9 + 40 + 540 + 3 + 2 + 8 + 0 + 0 = 666.

46094054032800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1350566136 + ... + 1350600264.

It is an arithmetic number, because the mean of its divisors is an integer number (298914635600).

Almost surely, 2^{46094054032800} is an apocalyptic number.

46094054032800 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 46094054032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86087415052800).

46094054032800 is an abundant number, since it is smaller than the sum of its proper divisors (126080776072800).

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

46094054032800 is a wasteful number, since it uses less digits than its factorization.

46094054032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36206 (or 36187 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46094054032800 in words is "forty-six trillion, ninety-four billion, fifty-four million, thirty-two thousand, eight hundred".