14919746016 has 96 divisors (see below), whose sum is σ = 45006893568. Its totient is φ = 4239198720.

The previous prime is 14919746011. The next prime is 14919746041. The reversal of 14919746016 is 61064791941.

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

It is a super-3 number, since 3×14919746016³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14919746011) 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, 60301 + ... + 182963.

It is an arithmetic number, because the mean of its divisors is an integer number (468821808).

Almost surely, 2^14919746016 is an apocalyptic number.

14919746016 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 14919746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22503446784).

14919746016 is an abundant number, since it is smaller than the sum of its proper divisors (30087147552).

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

14919746016 is a wasteful number, since it uses less digits than its factorization.

14919746016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122864 (or 122856 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 14919746016 in words is "fourteen billion, nine hundred nineteen million, seven hundred forty-six thousand, sixteen".