48075374592 has 456 divisors, whose sum is σ = 164886164352. Its totient is φ = 13212057600.

The previous prime is 48075374569. The next prime is 48075374651. The reversal of 48075374592 is 29547357084.

It is a happy number.

48075374592 is a `hidden beast` number, since 48 + 0 + 7 + 5 + 3 + 7 + 4 + 592 = 666.

It is a super-3 number, since 3×48075374592³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677117917 + ... + 677117987.

Almost surely, 2^48075374592 is an apocalyptic number.

48075374592 is a gapful number since it is divisible by the number (42) 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 48075374592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82443082176).

48075374592 is an abundant number, since it is smaller than the sum of its proper divisors (116810789760).

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

48075374592 is an frugal number, since it uses more digits than its factorization.

48075374592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 48075374592 in words is "forty-eight billion, seventy-five million, three hundred seventy-four thousand, five hundred ninety-two".