48925556064 has 576 divisors, whose sum is σ = 186984806400. Its totient is φ = 12294374400.

The previous prime is 48925556063. The next prime is 48925556087. The reversal of 48925556064 is 46065552984.

48925556064 is a `hidden beast` number, since 4 + 8 + 9 + 25 + 5 + 5 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48925556064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48925556063) 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, 14434882 + ... + 14438270.

It is an arithmetic number, because the mean of its divisors is an integer number (324626400).

Almost surely, 2^48925556064 is an apocalyptic number.

48925556064 is a gapful number since it is divisible by the number (44) 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 48925556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93492403200).

48925556064 is an abundant number, since it is smaller than the sum of its proper divisors (138059250336).

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

48925556064 is a wasteful number, since it uses less digits than its factorization.

48925556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 48925556064 in words is "forty-eight billion, nine hundred twenty-five million, five hundred fifty-six thousand, sixty-four".