48964521600 has 192 divisors, whose sum is σ = 179196864000. Its totient is φ = 13057182720.

The previous prime is 48964521569. The next prime is 48964521601. The reversal of 48964521600 is 612546984.

48964521600 is a `hidden beast` number, since 4 + 8 + 9 + 64 + 521 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (48964521601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196960 + ... + 369759.

It is an arithmetic number, because the mean of its divisors is an integer number (933317000).

Almost surely, 2^48964521600 is an apocalyptic number.

48964521600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48964521600 is an abundant number, since it is smaller than the sum of its proper divisors (130232342400).

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

48964521600 is a wasteful number, since it uses less digits than its factorization.

48964521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566752 (or 566729 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48964521600 in words is "forty-eight billion, nine hundred sixty-four million, five hundred twenty-one thousand, six hundred".