46116710640 has 1440 divisors, whose sum is σ = 219519074880. Its totient is φ = 8813629440.

The previous prime is 46116710597. The next prime is 46116710693. The reversal of 46116710640 is 4601761164.

It is a happy number.

46116710640 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 6 + 7 + 1 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46116710595 and 46116710604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166486182 + ... + 166486458.

It is an arithmetic number, because the mean of its divisors is an integer number (152443802).

Almost surely, 2^46116710640 is an apocalyptic number.

46116710640 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 46116710640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109759537440).

46116710640 is an abundant number, since it is smaller than the sum of its proper divisors (173402364240).

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

46116710640 is a wasteful number, since it uses less digits than its factorization.

46116710640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 46116710640 in words is "forty-six billion, one hundred sixteen million, seven hundred ten thousand, six hundred forty".