46831659840 has 1176 divisors, whose sum is σ = 206793964872. Its totient is φ = 10032906240.

The previous prime is 46831659817. The next prime is 46831659841. The reversal of 46831659840 is 4895613864.

46831659840 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 1 + 6 + 598 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14999390784 + 31832269056 = 122472^2 + 178416^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46831659841) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 194322120 + ... + 194322360.

Almost surely, 2^46831659840 is an apocalyptic number.

46831659840 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 46831659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103396982436).

46831659840 is an abundant number, since it is smaller than the sum of its proper divisors (159962305032).

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

46831659840 is a wasteful number, since it uses less digits than its factorization.

46831659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 46831659840 in words is "forty-six billion, eight hundred thirty-one million, six hundred fifty-nine thousand, eight hundred forty".