48681452160000 has 1320 divisors, whose sum is σ = 193950068536224. Its totient is φ = 11658117120000.

The previous prime is 48681452159959. The next prime is 48681452160013. The reversal of 48681452160000 is 6125418684.

It is a happy number.

48681452160000 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 14 + 5 + 21 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5258875372 + ... + 5258884628.

Almost surely, 2^{48681452160000} is an apocalyptic number.

48681452160000 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 48681452160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96975034268112).

48681452160000 is an abundant number, since it is smaller than the sum of its proper divisors (145268616376224).

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

48681452160000 is a wasteful number, since it uses less digits than its factorization.

48681452160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 48681452160000 its reverse (6125418684), we get a palindrome (48687577578684).

The spelling of 48681452160000 in words is "forty-eight trillion, six hundred eighty-one billion, four hundred fifty-two million, one hundred sixty thousand".