46807234647264 has 768 divisors, whose sum is σ = 174931941058560. Its totient is φ = 11846533201920.

The previous prime is 46807234647223. The next prime is 46807234647287. The reversal of 46807234647264 is 46274643270864.

46807234647264 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 72 + 34 + 6 + 472 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212253219 + ... + 212473629.

It is an arithmetic number, because the mean of its divisors is an integer number (227775964920).

Almost surely, 2^{46807234647264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46807234647264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87465970529280).

46807234647264 is an abundant number, since it is smaller than the sum of its proper divisors (128124706411296).

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

46807234647264 is a wasteful number, since it uses less digits than its factorization.

46807234647264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220560 (or 220546 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 63.

The spelling of 46807234647264 in words is "forty-six trillion, eight hundred seven billion, two hundred thirty-four million, six hundred forty-seven thousand, two hundred sixty-four".