46867121280 has 384 divisors, whose sum is σ = 187503189120. Its totient is φ = 10565074944.

The previous prime is 46867121263. The next prime is 46867121363. The reversal of 46867121280 is 8212176864.

46867121280 is a `hidden beast` number, since 468 + 67 + 1 + 2 + 128 + 0 = 666.

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

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2935399 + ... + 2951321.

It is an arithmetic number, because the mean of its divisors is an integer number (488289555).

Almost surely, 2^46867121280 is an apocalyptic number.

46867121280 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 46867121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93751594560).

46867121280 is an abundant number, since it is smaller than the sum of its proper divisors (140636067840).

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

46867121280 is a wasteful number, since it uses less digits than its factorization.

46867121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16028 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 46867121280 in words is "forty-six billion, eight hundred sixty-seven million, one hundred twenty-one thousand, two hundred eighty".