46641746250 has 480 divisors, whose sum is σ = 147372825600. Its totient is φ = 10538640000.

The previous prime is 46641746219. The next prime is 46641746257. The reversal of 46641746250 is 5264714664.

46641746250 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 17 + 4 + 625 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46641746196 and 46641746205.

It is not an unprimeable number, because it can be changed into a prime (46641746257) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 195153631 + ... + 195153869.

It is an arithmetic number, because the mean of its divisors is an integer number (307026720).

Almost surely, 2^46641746250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46641746250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73686412800).

46641746250 is an abundant number, since it is smaller than the sum of its proper divisors (100731079350).

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

46641746250 is a wasteful number, since it uses less digits than its factorization.

46641746250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 46641746250 in words is "forty-six billion, six hundred forty-one million, seven hundred forty-six thousand, two hundred fifty".