1008660796416 has 528 divisors, whose sum is σ = 3612355114368. Its totient is φ = 263960985600.

The previous prime is 1008660796411. The next prime is 1008660796421. The reversal of 1008660796416 is 6146970668001.

It is a happy number.

1008660796416 is a `hidden beast` number, since 1 + 0 + 0 + 86 + 60 + 7 + 96 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (1008660796411) and next prime (1008660796421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008660796411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109859346 + ... + 109868526.

It is an arithmetic number, because the mean of its divisors is an integer number (6841581656).

Almost surely, 2^{1008660796416} is an apocalyptic number.

1008660796416 is a gapful number since it is divisible by the number (16) 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 1008660796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806177557184).

1008660796416 is an abundant number, since it is smaller than the sum of its proper divisors (2603694317952).

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

1008660796416 is a wasteful number, since it uses less digits than its factorization.

1008660796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358 (or 9337 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1008660796416 in words is "one trillion, eight billion, six hundred sixty million, seven hundred ninety-six thousand, four hundred sixteen".