1468012416 has 96 divisors (see below), whose sum is σ = 4222622520. Its totient is φ = 451676160.

The previous prime is 1468012379. The next prime is 1468012423. The reversal of 1468012416 is 6142108641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53586 + ... + 76206.

Almost surely, 2^1468012416 is an apocalyptic number.

1468012416 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 1468012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111311260).

1468012416 is an abundant number, since it is smaller than the sum of its proper divisors (2754610104).

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

1468012416 is a wasteful number, since it uses less digits than its factorization.

1468012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22664 (or 22639 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1468012416 is about 38314.6501484745. The cubic root of 1468012416 is about 1136.5186747391.

The spelling of 1468012416 in words is "one billion, four hundred sixty-eight million, twelve thousand, four hundred sixteen".