46688015250 has 192 divisors, whose sum is σ = 134464966272. Its totient is φ = 12113064000.

The previous prime is 46688015207. The next prime is 46688015251. The reversal of 46688015250 is 5251088664.

46688015250 is a `hidden beast` number, since 46 + 6 + 8 + 80 + 1 + 525 + 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 = 46688015196 and 46688015205.

It is not an unprimeable number, because it can be changed into a prime (46688015251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2237365 + ... + 2258135.

It is an arithmetic number, because the mean of its divisors is an integer number (700338366).

Almost surely, 2^46688015250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46688015250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67232483136).

46688015250 is an abundant number, since it is smaller than the sum of its proper divisors (87776951022).

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

46688015250 is a wasteful number, since it uses less digits than its factorization.

46688015250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840 (or 20818 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 46688015250 in words is "forty-six billion, six hundred eighty-eight million, fifteen thousand, two hundred fifty".