48855066624 has 1152 divisors, whose sum is σ = 193454352000. Its totient is φ = 12039487488.

The previous prime is 48855066619. The next prime is 48855066629. The reversal of 48855066624 is 42666055884.

48855066624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48855066619) and next prime (48855066629).

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 (54).

It is not an unprimeable number, because it can be changed into a prime (48855066629) 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, 669247452 + ... + 669247524.

It is an arithmetic number, because the mean of its divisors is an integer number (167929125).

Almost surely, 2^48855066624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48855066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96727176000).

48855066624 is an abundant number, since it is smaller than the sum of its proper divisors (144599285376).

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

48855066624 is a wasteful number, since it uses less digits than its factorization.

48855066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 48855066624 in words is "forty-eight billion, eight hundred fifty-five million, sixty-six thousand, six hundred twenty-four".