983013538464 has 1152 divisors, whose sum is σ = 3431044915200. Its totient is φ = 271784263680.

The previous prime is 983013538457. The next prime is 983013538469. The reversal of 983013538464 is 464835310389.

983013538464 is a `hidden beast` number, since 9 + 8 + 30 + 13 + 538 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 983013538464.

It is not an unprimeable number, because it can be changed into a prime (983013538469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11843536567 + ... + 11843536649.

It is an arithmetic number, because the mean of its divisors is an integer number (2978337600).

Almost surely, 2^983013538464 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 983013538464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715522457600).

983013538464 is an abundant number, since it is smaller than the sum of its proper divisors (2448031376736).

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

983013538464 is a wasteful number, since it uses less digits than its factorization.

983013538464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 983013538464 in words is "nine hundred eighty-three billion, thirteen million, five hundred thirty-eight thousand, four hundred sixty-four".