48168135214080 has 704 divisors, whose sum is σ = 177631318835712. Its totient is φ = 10912593346560.

The previous prime is 48168135214079. The next prime is 48168135214123. The reversal of 48168135214080 is 8041253186184.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11209710492 + ... + 11209714788.

Almost surely, 2^{48168135214080} is an apocalyptic number.

48168135214080 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 48168135214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88815659417856).

48168135214080 is an abundant number, since it is smaller than the sum of its proper divisors (129463183621632).

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

48168135214080 is a wasteful number, since it uses less digits than its factorization.

48168135214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 48168135214080 in words is "forty-eight trillion, one hundred sixty-eight billion, one hundred thirty-five million, two hundred fourteen thousand, eighty".