983096046144 has 315 divisors, whose sum is σ = 2987725148617. Its totient is φ = 319631740416.

The previous prime is 983096046137. The next prime is 983096046187. The reversal of 983096046144 is 441640690389.

It is a happy number.

The square root of 983096046144 is 991512.

It is a perfect power (a square), and thus also a powerful number.

983096046144 is a `hidden beast` number, since 9 + 83 + 0 + 9 + 60 + 461 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 930144513600 + 52951532544 = 964440^2 + 230112^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3355276462 + ... + 3355276754.

Almost surely, 2^983096046144 is an apocalyptic number.

983096046144 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

983096046144 is the 991512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983096046144

983096046144 is an abundant number, since it is smaller than the sum of its proper divisors (2004629102473).

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

983096046144 is an frugal number, since it uses more digits than its factorization.

983096046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 983096046144 in words is "nine hundred eighty-three billion, ninety-six million, forty-six thousand, one hundred forty-four".