46713623616 has 448 divisors, whose sum is σ = 155370946560. Its totient is φ = 13638481920.

The previous prime is 46713623609. The next prime is 46713623623. The reversal of 46713623616 is 61632631764.

46713623616 is a `hidden beast` number, since 4 + 6 + 7 + 1 + 3 + 6 + 23 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (46713623609) and next prime (46713623623).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89318331 + ... + 89318853.

Almost surely, 2^46713623616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46713623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77685473280).

46713623616 is an abundant number, since it is smaller than the sum of its proper divisors (108657322944).

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

46713623616 is a wasteful number, since it uses less digits than its factorization.

46713623616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 703 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 46713623616 in words is "forty-six billion, seven hundred thirteen million, six hundred twenty-three thousand, six hundred sixteen".