46559185440768 has 2912 divisors, whose sum is σ = 192953386036992. Its totient is φ = 10835538739200.

The previous prime is 46559185440739. The next prime is 46559185440773. The reversal of 46559185440768 is 86704458195564.

46559185440768 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 9 + 1 + 8 + 544 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46559185440696 and 46559185440705.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 110591889198 + ... + 110591889618.

Almost surely, 2^{46559185440768} is an apocalyptic number.

46559185440768 is a gapful number since it is divisible by the number (48) 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 46559185440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96476693018496).

46559185440768 is an abundant number, since it is smaller than the sum of its proper divisors (146394200596224).

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

46559185440768 is a wasteful number, since it uses less digits than its factorization.

46559185440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 46559185440768 in words is "forty-six trillion, five hundred fifty-nine billion, one hundred eighty-five million, four hundred forty thousand, seven hundred sixty-eight".