46624241664 has 1296 divisors, whose sum is σ = 194225555160. Its totient is φ = 10590289920.

The previous prime is 46624241663. The next prime is 46624241681. The reversal of 46624241664 is 46614242664.

46624241664 is a `hidden beast` number, since 4 + 6 + 62 + 424 + 166 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46624241663) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2453907447 + ... + 2453907465.

Almost surely, 2^46624241664 is an apocalyptic number.

46624241664 is a gapful number since it is divisible by the number (44) 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 46624241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97112777580).

46624241664 is an abundant number, since it is smaller than the sum of its proper divisors (147601313496).

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

46624241664 is a wasteful number, since it uses less digits than its factorization.

46624241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 55 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 46624241664 in words is "forty-six billion, six hundred twenty-four million, two hundred forty-one thousand, six hundred sixty-four".