48213466431284 has 144 divisors (see below), whose sum is σ = 107496590209344. Its totient is φ = 18709933132800.

The previous prime is 48213466431283. The next prime is 48213466431289.

48213466431284 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48213466431283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1863885719 + ... + 1863911585.

It is an arithmetic number, because the mean of its divisors is an integer number (746504098676).

Almost surely, 2^{48213466431284} is an apocalyptic number.

48213466431284 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 48213466431284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53748295104672).

48213466431284 is an abundant number, since it is smaller than the sum of its proper divisors (59283123778060).

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

48213466431284 is a wasteful number, since it uses less digits than its factorization.

48213466431284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29294 (or 29285 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

The spelling of 48213466431284 in words is "forty-eight trillion, two hundred thirteen billion, four hundred sixty-six million, four hundred thirty-one thousand, two hundred eighty-four".