48348561600 has 252 divisors, whose sum is σ = 175500877344. Its totient is φ = 12618455040.

The previous prime is 48348561593. The next prime is 48348561617. The reversal of 48348561600 is 616584384.

48348561600 is a `hidden beast` number, since 4 + 8 + 3 + 485 + 6 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 641082 + ... + 712518.

Almost surely, 2^48348561600 is an apocalyptic number.

48348561600 is a gapful number since it is divisible by the number (40) 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 48348561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87750438672).

48348561600 is an abundant number, since it is smaller than the sum of its proper divisors (127152315744).

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

48348561600 is a wasteful number, since it uses less digits than its factorization.

48348561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71512 (or 71494 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48348561600 in words is "forty-eight billion, three hundred forty-eight million, five hundred sixty-one thousand, six hundred".