46132163280 has 300 divisors, whose sum is σ = 186384114180. Its totient is φ = 10544421888.

The previous prime is 46132163171. The next prime is 46132163281. The reversal of 46132163280 is 8236123164.

46132163280 is a `hidden beast` number, since 4 + 6 + 1 + 321 + 6 + 328 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7297943184 + 38834220096 = 85428^2 + 197064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46132163281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 244876 + ... + 390164.

Almost surely, 2^46132163280 is an apocalyptic number.

46132163280 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 46132163280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93192057090).

46132163280 is an abundant number, since it is smaller than the sum of its proper divisors (140251950900).

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

46132163280 is a wasteful number, since it uses less digits than its factorization.

46132163280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145328 (or 145306 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46132163280 in words is "forty-six billion, one hundred thirty-two million, one hundred sixty-three thousand, two hundred eighty".