48447865154400 has 144 divisors (see below), whose sum is σ = 157729807552464. Its totient is φ = 12916808570880.

The previous prime is 48447865154363. The next prime is 48447865154413. The reversal of 48447865154400 is 445156874484.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9793122 + ... + 13885278.

It is an arithmetic number, because the mean of its divisors is an integer number (1095345885781).

Almost surely, 2^{48447865154400} is an apocalyptic number.

48447865154400 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 48447865154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78864903776232).

48447865154400 is an abundant number, since it is smaller than the sum of its proper divisors (109281942398064).

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

48447865154400 is a wasteful number, since it uses less digits than its factorization.

48447865154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097113 (or 4097100 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 60.

The spelling of 48447865154400 in words is "forty-eight trillion, four hundred forty-seven billion, eight hundred sixty-five million, one hundred fifty-four thousand, four hundred".