46705540896 has 216 divisors, whose sum is σ = 160227259920. Its totient is φ = 13344331392.

The previous prime is 46705540879. The next prime is 46705540919. The reversal of 46705540896 is 69804550764.

46705540896 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 5 + 540 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319735 + ... + 442313.

It is an arithmetic number, because the mean of its divisors is an integer number (741792870).

Almost surely, 2^46705540896 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 46705540896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80113629960).

46705540896 is an abundant number, since it is smaller than the sum of its proper divisors (113521719024).

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

46705540896 is a wasteful number, since it uses less digits than its factorization.

46705540896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122618 (or 122591 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 46705540896 in words is "forty-six billion, seven hundred five million, five hundred forty thousand, eight hundred ninety-six".