46581163776 has 504 divisors, whose sum is σ = 161015478624. Its totient is φ = 13168189440.

The previous prime is 46581163757. The next prime is 46581163787. The reversal of 46581163776 is 67736118564.

46581163776 is a `hidden beast` number, since 46 + 581 + 16 + 3 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 236452510 + ... + 236452706.

It is an arithmetic number, because the mean of its divisors is an integer number (319475156).

Almost surely, 2^46581163776 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 46581163776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80507739312).

46581163776 is an abundant number, since it is smaller than the sum of its proper divisors (114434314848).

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

46581163776 is an equidigital number, since it uses as much as digits as its factorization.

46581163776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 390 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 46581163776 in words is "forty-six billion, five hundred eighty-one million, one hundred sixty-three thousand, seven hundred seventy-six".