48238431662400 has 336 divisors, whose sum is σ = 182735811409536. Its totient is φ = 10912257146880.

The previous prime is 48238431662387. The next prime is 48238431662401. The reversal of 48238431662400 is 426613483284.

48238431662400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48238431662401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4141149 + ... + 10659548.

It is an arithmetic number, because the mean of its divisors is an integer number (543856581576).

Almost surely, 2^{48238431662400} is an apocalyptic number.

48238431662400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48238431662400 is an abundant number, since it is smaller than the sum of its proper divisors (134497379747136).

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

48238431662400 is a wasteful number, since it uses less digits than its factorization.

48238431662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14800826 (or 14800811 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 48238431662400 in words is "forty-eight trillion, two hundred thirty-eight billion, four hundred thirty-one million, six hundred sixty-two thousand, four hundred".