46586306896640 has 1296 divisors, whose sum is σ = 142160049855936. Its totient is φ = 14323380387840.

The previous prime is 46586306896637. The next prime is 46586306896651. The reversal of 46586306896640 is 4669860368564.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241379828384 + ... + 241379828576.

Almost surely, 2^{46586306896640} is an apocalyptic number.

46586306896640 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 46586306896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71080024927968).

46586306896640 is an abundant number, since it is smaller than the sum of its proper divisors (95573742959296).

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

46586306896640 is a wasteful number, since it uses less digits than its factorization.

46586306896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 71.

The spelling of 46586306896640 in words is "forty-six trillion, five hundred eighty-six billion, three hundred six million, eight hundred ninety-six thousand, six hundred forty".