46866885120 has 640 divisors, whose sum is σ = 184092860160. Its totient is φ = 11346739200.

The previous prime is 46866885101. The next prime is 46866885151. The reversal of 46866885120 is 2158866864.

46866885120 is a `hidden beast` number, since 4 + 68 + 6 + 68 + 8 + 512 + 0 = 666.

46866885120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61585540 + ... + 61586300.

It is an arithmetic number, because the mean of its divisors is an integer number (287645094).

Almost surely, 2^46866885120 is an apocalyptic number.

46866885120 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 46866885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92046430080).

46866885120 is an abundant number, since it is smaller than the sum of its proper divisors (137225975040).

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

46866885120 is an frugal number, since it uses more digits than its factorization.

46866885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 46866885120 in words is "forty-six billion, eight hundred sixty-six million, eight hundred eighty-five thousand, one hundred twenty".