1634516016 has 80 divisors (see below), whose sum is σ = 4845189888. Its totient is φ = 465120000.

The previous prime is 1634516011. The next prime is 1634516047. The reversal of 1634516016 is 6106154361.

It is not an unprimeable number, because it can be changed into a prime (1634516011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74646 + ... + 94026.

Almost surely, 2^1634516016 is an apocalyptic number.

1634516016 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 1634516016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422594944).

1634516016 is an abundant number, since it is smaller than the sum of its proper divisors (3210673872).

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

1634516016 is a wasteful number, since it uses less digits than its factorization.

1634516016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19650 (or 19644 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1634516016 is about 40429.1480988655. The cubic root of 1634516016 is about 1177.9577852264.

The spelling of 1634516016 in words is "one billion, six hundred thirty-four million, five hundred sixteen thousand, sixteen".