48733354706400 has 3888 divisors, whose sum is σ = 233156219796864. Its totient is φ = 9724439162880.

The previous prime is 48733354706363. The next prime is 48733354706441. The reversal of 48733354706400 is 460745333784.

48733354706400 is a `hidden beast` number, since 4 + 8 + 7 + 3 + 33 + 547 + 0 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 83021046907 + ... + 83021047493.

It is an arithmetic number, because the mean of its divisors is an integer number (59968163528).

Almost surely, 2^{48733354706400} is an apocalyptic number.

48733354706400 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 48733354706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116578109898432).

48733354706400 is an abundant number, since it is smaller than the sum of its proper divisors (184422865090464).

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

48733354706400 is a wasteful number, since it uses less digits than its factorization.

48733354706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 48733354706400 in words is "forty-eight trillion, seven hundred thirty-three billion, three hundred fifty-four million, seven hundred six thousand, four hundred".