46882598864640 has 2304 divisors, whose sum is σ = 203851933286400. Its totient is φ = 8892540518400.

The previous prime is 46882598864501. The next prime is 46882598864749. The reversal of 46882598864640 is 4646889528864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17552450505 + ... + 17552453175.

It is an arithmetic number, because the mean of its divisors is an integer number (88477401600).

Almost surely, 2^{46882598864640} is an apocalyptic number.

46882598864640 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 46882598864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101925966643200).

46882598864640 is an abundant number, since it is smaller than the sum of its proper divisors (156969334421760).

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

46882598864640 is a wasteful number, since it uses less digits than its factorization.

46882598864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 5096079360, while the sum is 78.

The spelling of 46882598864640 in words is "forty-six trillion, eight hundred eighty-two billion, five hundred ninety-eight million, eight hundred sixty-four thousand, six hundred forty".