46534128482688 has 256 divisors, whose sum is σ = 154200829386240. Its totient is φ = 12079390556160.

The previous prime is 46534128482671. The next prime is 46534128482731. The reversal of 46534128482688 is 88628482143564.

It is a super-2 number, since 2×46534128482688² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47922120 + ... + 48883512.

It is an arithmetic number, because the mean of its divisors is an integer number (602346989790).

Almost surely, 2^{46534128482688} is an apocalyptic number.

46534128482688 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 46534128482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77100414693120).

46534128482688 is an abundant number, since it is smaller than the sum of its proper divisors (107666700903552).

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

46534128482688 is a wasteful number, since it uses less digits than its factorization.

46534128482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963065 (or 963053 counting only the distinct ones).

The product of its digits is 566231040, while the sum is 69.

The spelling of 46534128482688 in words is "forty-six trillion, five hundred thirty-four billion, one hundred twenty-eight million, four hundred eighty-two thousand, six hundred eighty-eight".