48321463680 has 1152 divisors, whose sum is σ = 213703570080. Its totient is φ = 10367336448.

The previous prime is 48321463657. The next prime is 48321463699. The reversal of 48321463680 is 8636412384.

48321463680 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 1 + 4 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 129547974 + ... + 129548346.

Almost surely, 2^48321463680 is an apocalyptic number.

48321463680 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 48321463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106851785040).

48321463680 is an abundant number, since it is smaller than the sum of its proper divisors (165382106400).

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

48321463680 is a wasteful number, since it uses less digits than its factorization.

48321463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 48321463680 in words is "forty-eight billion, three hundred twenty-one million, four hundred sixty-three thousand, six hundred eighty".