46509806070 has 512 divisors, whose sum is σ = 163189555200. Its totient is φ = 9151667712.

The previous prime is 46509806069. The next prime is 46509806087. The reversal of 46509806070 is 7060890564.

46509806070 is a `hidden beast` number, since 4 + 6 + 509 + 80 + 60 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31276867 + ... + 31278353.

It is an arithmetic number, because the mean of its divisors is an integer number (318729600).

Almost surely, 2^46509806070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46509806070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81594777600).

46509806070 is an abundant number, since it is smaller than the sum of its proper divisors (116679749130).

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

46509806070 is a wasteful number, since it uses less digits than its factorization.

46509806070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 46509806070 in words is "forty-six billion, five hundred nine million, eight hundred six thousand, seventy".