983468461248 has 448 divisors, whose sum is σ = 3575403811840. Its totient is φ = 258138316800.

The previous prime is 983468461223. The next prime is 983468461279. The reversal of 983468461248 is 842164864389.

983468461248 is a `hidden beast` number, since 9 + 8 + 3 + 4 + 6 + 8 + 4 + 612 + 4 + 8 = 666.

983468461248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 33164508 + ... + 33194148.

It is an arithmetic number, because the mean of its divisors is an integer number (7980812080).

Almost surely, 2^983468461248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983468461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787701905920).

983468461248 is an abundant number, since it is smaller than the sum of its proper divisors (2591935350592).

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

983468461248 is a wasteful number, since it uses less digits than its factorization.

983468461248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29893 (or 29877 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 983468461248 in words is "nine hundred eighty-three billion, four hundred sixty-eight million, four hundred sixty-one thousand, two hundred forty-eight".