46132643225088 has 640 divisors, whose sum is σ = 166306343808000. Its totient is φ = 12486990938112.

The previous prime is 46132643225063. The next prime is 46132643225093. The reversal of 46132643225088 is 88052234623164.

46132643225088 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 264 + 322 + 50 + 8 + 8 = 666.

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

It is a congruent number.

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, 148771068 + ... + 149080836.

It is an arithmetic number, because the mean of its divisors is an integer number (259853662200).

Almost surely, 2^{46132643225088} is an apocalyptic number.

46132643225088 is a gapful number since it is divisible by the number (48) 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 46132643225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83153171904000).

46132643225088 is an abundant number, since it is smaller than the sum of its proper divisors (120173700582912).

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

46132643225088 is an frugal number, since it uses more digits than its factorization.

46132643225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309834 (or 309800 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 46132643225088 in words is "forty-six trillion, one hundred thirty-two billion, six hundred forty-three million, two hundred twenty-five thousand, eighty-eight".