48345144154384 has 240 divisors, whose sum is σ = 120688744675968. Its totient is φ = 18353136384000.

The previous prime is 48345144154331. The next prime is 48345144154537.

48345144154384 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442784119 + ... + 442893289.

Almost surely, 2^{48345144154384} is an apocalyptic number.

48345144154384 is a gapful number since it is divisible by the number (44) 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 48345144154384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60344372337984).

48345144154384 is an abundant number, since it is smaller than the sum of its proper divisors (72343600521584).

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

48345144154384 is a wasteful number, since it uses less digits than its factorization.

48345144154384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110046 (or 110029 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 58.

It can be divided in two parts, 4834514 and 4154384, that added together give a palindrome (8988898).

The spelling of 48345144154384 in words is "forty-eight trillion, three hundred forty-five billion, one hundred forty-four million, one hundred fifty-four thousand, three hundred eighty-four".