1954816416 has 168 divisors, whose sum is σ = 6595039584. Its totient is φ = 558472320.

The previous prime is 1954816403. The next prime is 1954816469. The reversal of 1954816416 is 6146184591.

1954816416 is a `hidden beast` number, since 195 + 48 + 1 + 6 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 157311 + ... + 169281.

It is an arithmetic number, because the mean of its divisors is an integer number (39256188).

Almost surely, 2^1954816416 is an apocalyptic number.

1954816416 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 1954816416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297519792).

1954816416 is an abundant number, since it is smaller than the sum of its proper divisors (4640223168).

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

1954816416 is an equidigital number, since it uses as much as digits as its factorization.

1954816416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12006 (or 11983 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1954816416 is about 44213.3058705182. The cubic root of 1954816416 is about 1250.3607313017.

The spelling of 1954816416 in words is "one billion, nine hundred fifty-four million, eight hundred sixteen thousand, four hundred sixteen".