46558665216 has 800 divisors, whose sum is σ = 174920232960. Its totient is φ = 12021571584.

The previous prime is 46558665203. The next prime is 46558665233. The reversal of 46558665216 is 61256685564.

46558665216 is a `hidden beast` number, since 4 + 6 + 5 + 58 + 66 + 521 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126862665 + ... + 126863031.

Almost surely, 2^46558665216 is an apocalyptic number.

46558665216 is a gapful number since it is divisible by the number (46) 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 46558665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87460116480).

46558665216 is an abundant number, since it is smaller than the sum of its proper divisors (128361567744).

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

46558665216 is a wasteful number, since it uses less digits than its factorization.

46558665216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 421 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 46558665216 in words is "forty-six billion, five hundred fifty-eight million, six hundred sixty-five thousand, two hundred sixteen".