48361400416384 has 32 divisors (see below), whose sum is σ = 105103611703440. Its totient is φ = 21982454734080.

The previous prime is 48361400416253. The next prime is 48361400416387.

48361400416384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×48361400416384³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48361400416387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17173791354 + ... + 17173794169.

Almost surely, 2^{48361400416384} is an apocalyptic number.

48361400416384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48361400416384 is an abundant number, since it is smaller than the sum of its proper divisors (56742211287056).

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

48361400416384 is a wasteful number, since it uses less digits than its factorization.

48361400416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34347585548 (or 34347585536 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

It can be divided in two parts, 48361400 and 416384, that added together give a palindrome (48777784).

The spelling of 48361400416384 in words is "forty-eight trillion, three hundred sixty-one billion, four hundred million, four hundred sixteen thousand, three hundred eighty-four".