48718643097600 has 3276 divisors, whose sum is σ = 222106232382840. Its totient is φ = 10534551552000.

The previous prime is 48718643097589. The next prime is 48718643097637. The reversal of 48718643097600 is 679034681784.

48718643097600 is a `hidden beast` number, since 4 + 8 + 7 + 18 + 6 + 4 + 3 + 0 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 69498777250 + ... + 69498777950.

Almost surely, 2^{48718643097600} is an apocalyptic number.

48718643097600 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 48718643097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111053116191420).

48718643097600 is an abundant number, since it is smaller than the sum of its proper divisors (173387589285240).

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

48718643097600 is an equidigital number, since it uses as much as digits as its factorization.

48718643097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 48718643097600 in words is "forty-eight trillion, seven hundred eighteen billion, six hundred forty-three million, ninety-seven thousand, six hundred".