48185684190 has 240 divisors, whose sum is σ = 154400876784. Its totient is φ = 10744876800.

The previous prime is 48185684147. The next prime is 48185684203. The reversal of 48185684190 is 9148658184.

It is a happy number.

48185684190 is a `hidden beast` number, since 48 + 185 + 6 + 8 + 419 + 0 = 666.

48185684190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48185684190³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1612485 + ... + 1642095.

Almost surely, 2^48185684190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48185684190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77200438392).

48185684190 is an abundant number, since it is smaller than the sum of its proper divisors (106215192594).

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

48185684190 is a wasteful number, since it uses less digits than its factorization.

48185684190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29685 (or 29669 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 48185684190 in words is "forty-eight billion, one hundred eighty-five million, six hundred eighty-four thousand, one hundred ninety".