48474316800 has 1512 divisors, whose sum is σ = 227015168016. Its totient is φ = 9625927680.

The previous prime is 48474316763. The next prime is 48474316829. The reversal of 48474316800 is 861347484.

48474316800 is a `hidden beast` number, since 484 + 7 + 4 + 3 + 168 + 0 + 0 = 666.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2851430392 + ... + 2851430408.

Almost surely, 2^48474316800 is an apocalyptic number.

48474316800 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 48474316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113507584008).

48474316800 is an abundant number, since it is smaller than the sum of its proper divisors (178540851216).

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

48474316800 is a wasteful number, since it uses less digits than its factorization.

48474316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 48474316800 in words is "forty-eight billion, four hundred seventy-four million, three hundred sixteen thousand, eight hundred".