48642249600 has 1920 divisors, whose sum is σ = 231397689600. Its totient is φ = 9794027520.

The previous prime is 48642249589. The next prime is 48642249611. The reversal of 48642249600 is 694224684.

It is an interprime number because it is at equal distance from previous prime (48642249589) and next prime (48642249611).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×48642249600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 586051159 + ... + 586051241.

It is an arithmetic number, because the mean of its divisors is an integer number (120519630).

Almost surely, 2^48642249600 is an apocalyptic number.

48642249600 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 48642249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115698844800).

48642249600 is an abundant number, since it is smaller than the sum of its proper divisors (182755440000).

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

48642249600 is a wasteful number, since it uses less digits than its factorization.

48642249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 48642249600 in words is "forty-eight billion, six hundred forty-two million, two hundred forty-nine thousand, six hundred".