48454024320 has 384 divisors, whose sum is σ = 182491545600. Its totient is φ = 11774730240.

The previous prime is 48454024313. The next prime is 48454024327. The reversal of 48454024320 is 2342045484.

48454024320 is a `hidden beast` number, since 4 + 84 + 540 + 2 + 4 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48454024313) and next prime (48454024327).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48454024327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5911425 + ... + 5919615.

It is an arithmetic number, because the mean of its divisors is an integer number (475238400).

Almost surely, 2^48454024320 is an apocalyptic number.

48454024320 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 48454024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91245772800).

48454024320 is an abundant number, since it is smaller than the sum of its proper divisors (134037521280).

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

48454024320 is a wasteful number, since it uses less digits than its factorization.

48454024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 48454024320 in words is "forty-eight billion, four hundred fifty-four million, twenty-four thousand, three hundred twenty".