96985494144 has 768 divisors, whose sum is σ = 364290600960. Its totient is φ = 24037171200.

The previous prime is 96985494121. The next prime is 96985494169. The reversal of 96985494144 is 44149458969.

96985494144 is a `hidden beast` number, since 9 + 6 + 9 + 8 + 549 + 41 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179270514 + ... + 179271054.

It is an arithmetic number, because the mean of its divisors is an integer number (474336720).

Almost surely, 2^96985494144 is an apocalyptic number.

96985494144 is a gapful number since it is divisible by the number (94) 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 96985494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182145300480).

96985494144 is an abundant number, since it is smaller than the sum of its proper divisors (267305106816).

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

96985494144 is a wasteful number, since it uses less digits than its factorization.

96985494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 96985494144 in words is "ninety-six billion, nine hundred eighty-five million, four hundred ninety-four thousand, one hundred forty-four".