46028218582080 has 336 divisors, whose sum is σ = 180984963204864. Its totient is φ = 10517815111680.

The previous prime is 46028218582043. The next prime is 46028218582091. The reversal of 46028218582080 is 8028581282064.

46028218582080 is a `hidden beast` number, since 4 + 602 + 8 + 2 + 1 + 8 + 5 + 8 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×46028218582080³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72724590 + ... + 73354770.

It is an arithmetic number, because the mean of its divisors is an integer number (538645723824).

Almost surely, 2^{46028218582080} is an apocalyptic number.

46028218582080 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 46028218582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90492481602432).

46028218582080 is an abundant number, since it is smaller than the sum of its proper divisors (134956744622784).

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

46028218582080 is a wasteful number, since it uses less digits than its factorization.

46028218582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633834 (or 633821 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 46028218582080 in words is "forty-six trillion, twenty-eight billion, two hundred eighteen million, five hundred eighty-two thousand, eighty".