48719202336 has 288 divisors, whose sum is σ = 168242780160. Its totient is φ = 13062809088.

The previous prime is 48719202281. The next prime is 48719202353. The reversal of 48719202336 is 63320291784.

48719202336 is a `hidden beast` number, since 48 + 71 + 9 + 202 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×48719202336² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48719202291 and 48719202300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4092585 + ... + 4104471.

It is an arithmetic number, because the mean of its divisors is an integer number (584176320).

Almost surely, 2^48719202336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48719202336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84121390080).

48719202336 is an abundant number, since it is smaller than the sum of its proper divisors (119523577824).

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

48719202336 is a wasteful number, since it uses less digits than its factorization.

48719202336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12036 (or 12025 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 48719202336 in words is "forty-eight billion, seven hundred nineteen million, two hundred two thousand, three hundred thirty-six".