48103671398400 has 1530 divisors, whose sum is σ = 184993120767312. Its totient is φ = 12356576870400.

The previous prime is 48103671398357. The next prime is 48103671398449. The reversal of 48103671398400 is 489317630184.

48103671398400 is a `hidden beast` number, since 4 + 81 + 0 + 3 + 6 + 71 + 3 + 98 + 400 = 666.

It is a super-3 number, since 3×48103671398400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 111609446185 + ... + 111609446615.

Almost surely, 2^{48103671398400} is an apocalyptic number.

48103671398400 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 48103671398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92496560383656).

48103671398400 is an abundant number, since it is smaller than the sum of its proper divisors (136889449368912).

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

48103671398400 is an frugal number, since it uses more digits than its factorization.

48103671398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48103671398400 in words is "forty-eight trillion, one hundred three billion, six hundred seventy-one million, three hundred ninety-eight thousand, four hundred".