48654734400 has 672 divisors, whose sum is σ = 190011588480. Its totient is φ = 12067799040.

The previous prime is 48654734371. The next prime is 48654734407. The reversal of 48654734400 is 443745684.

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

It is not an unprimeable number, because it can be changed into a prime (48654734407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71236459 + ... + 71237141.

It is an arithmetic number, because the mean of its divisors is an integer number (282755340).

Almost surely, 2^48654734400 is an apocalyptic number.

48654734400 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 48654734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95005794240).

48654734400 is an abundant number, since it is smaller than the sum of its proper divisors (141356854080).

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

48654734400 is a wasteful number, since it uses less digits than its factorization.

48654734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 48654734400 in words is "forty-eight billion, six hundred fifty-four million, seven hundred thirty-four thousand, four hundred".