48209914368 has 800 divisors, whose sum is σ = 185567551488. Its totient is φ = 12093235200.

The previous prime is 48209914327. The next prime is 48209914369. The reversal of 48209914368 is 86341990284.

48209914368 is a `hidden beast` number, since 482 + 0 + 99 + 14 + 3 + 68 = 666.

It is a super-3 number, since 3×48209914368³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48209914369) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98993421 + ... + 98993907.

Almost surely, 2^48209914368 is an apocalyptic number.

48209914368 is a gapful number since it is divisible by the number (48) 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 48209914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92783775744).

48209914368 is an abundant number, since it is smaller than the sum of its proper divisors (137357637120).

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

48209914368 is a wasteful number, since it uses less digits than its factorization.

48209914368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48209914368 in words is "forty-eight billion, two hundred nine million, nine hundred fourteen thousand, three hundred sixty-eight".