21431100480048 has 1440 divisors, whose sum is σ = 75955048565760. Its totient is φ = 5828491468800.

The previous prime is 21431100480037. The next prime is 21431100480059. The reversal of 21431100480048 is 84008400113412.

It is a happy number.

21431100480048 is a `hidden beast` number, since 2 + 1 + 4 + 31 + 100 + 480 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (21431100480037) and next prime (21431100480059).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21431100479994 and 21431100480021.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53444140648 + ... + 53444141048.

It is an arithmetic number, because the mean of its divisors is an integer number (52746561504).

Almost surely, 2^{21431100480048} is an apocalyptic number.

21431100480048 is a gapful number since it is divisible by the number (28) 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 21431100480048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37977524282880).

21431100480048 is an abundant number, since it is smaller than the sum of its proper divisors (54523948085712).

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

21431100480048 is a wasteful number, since it uses less digits than its factorization.

21431100480048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 21431100480048 in words is "twenty-one trillion, four hundred thirty-one billion, one hundred million, four hundred eighty thousand, forty-eight".