46788340745160 has 576 divisors, whose sum is σ = 189357481797120. Its totient is φ = 10349491461120.

The previous prime is 46788340745149. The next prime is 46788340745161. The reversal of 46788340745160 is 6154704388764.

46788340745160 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 8 + 3 + 40 + 74 + 516 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46788340745161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13180212 + ... + 16349148.

It is an arithmetic number, because the mean of its divisors is an integer number (328745628120).

Almost surely, 2^{46788340745160} is an apocalyptic number.

46788340745160 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 46788340745160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94678740898560).

46788340745160 is an abundant number, since it is smaller than the sum of its proper divisors (142569141051960).

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

46788340745160 is a wasteful number, since it uses less digits than its factorization.

46788340745160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169008 (or 3168985 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 46788340745160 in words is "forty-six trillion, seven hundred eighty-eight billion, three hundred forty million, seven hundred forty-five thousand, one hundred sixty".