48427306704000 has 5376 divisors, whose sum is σ = 229004302325760. Its totient is φ = 9956763648000.

The previous prime is 48427306703999. The next prime is 48427306704013. The reversal of 48427306704000 is 40760372484.

48427306704000 is a `hidden beast` number, since 484 + 2 + 73 + 0 + 67 + 0 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 913722767974 + ... + 913722768026.

Almost surely, 2^{48427306704000} is an apocalyptic number.

48427306704000 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 48427306704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114502151162880).

48427306704000 is an abundant number, since it is smaller than the sum of its proper divisors (180576995621760).

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

48427306704000 is an equidigital number, since it uses as much as digits as its factorization.

48427306704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 48427306704000 in words is "forty-eight trillion, four hundred twenty-seven billion, three hundred six million, seven hundred four thousand".