1468694016 has 120 divisors (see below), whose sum is σ = 4271106840. Its totient is φ = 485830656.

The previous prime is 1468693991. The next prime is 1468694027. The reversal of 1468694016 is 6104968641.

It is a super-6 number, since 6×1468694016⁶ (a number of 56 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639366 + ... + 641658.

It is an arithmetic number, because the mean of its divisors is an integer number (35592557).

Almost surely, 2^1468694016 is an apocalyptic number.

1468694016 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 1468694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135553420).

1468694016 is an abundant number, since it is smaller than the sum of its proper divisors (2802412824).

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

1468694016 is a wasteful number, since it uses less digits than its factorization.

1468694016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1468694016 is about 38323.5438862327. The cubic root of 1468694016 is about 1136.6945432038.

The spelling of 1468694016 in words is "one billion, four hundred sixty-eight million, six hundred ninety-four thousand, sixteen".