48768366400 has 168 divisors, whose sum is σ = 131055611904. Its totient is φ = 17752627200.

The previous prime is 48768366371. The next prime is 48768366407. The reversal of 48768366400 is 466386784.

It is a happy number.

It is a super-2 number, since 2×48768366400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48768366407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1460289 + ... + 1493311.

It is an arithmetic number, because the mean of its divisors is an integer number (780092928).

Almost surely, 2^48768366400 is an apocalyptic number.

48768366400 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 48768366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65527805952).

48768366400 is an abundant number, since it is smaller than the sum of its proper divisors (82287245504).

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

48768366400 is a wasteful number, since it uses less digits than its factorization.

48768366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33129 (or 33114 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 48768366400 in words is "forty-eight billion, seven hundred sixty-eight million, three hundred sixty-six thousand, four hundred".