14901896661768 has 128 divisors (see below), whose sum is σ = 42737721753600. Its totient is φ = 4806133185600.

The previous prime is 14901896661763. The next prime is 14901896661793. The reversal of 14901896661768 is 86716669810941.

It is a super-3 number, since 3×14901896661768³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 14901896661696 and 14901896661705.

It is not an unprimeable number, because it can be changed into a prime (14901896661763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34814055 + ... + 35239497.

It is an arithmetic number, because the mean of its divisors is an integer number (333888451200).

Almost surely, 2^{14901896661768} is an apocalyptic number.

14901896661768 is a gapful number since it is divisible by the number (18) 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 14901896661768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368860876800).

14901896661768 is an abundant number, since it is smaller than the sum of its proper divisors (27835825091832).

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

14901896661768 is a wasteful number, since it uses less digits than its factorization.

14901896661768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430720 (or 430710 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 14901896661768 in words is "fourteen trillion, nine hundred one billion, eight hundred ninety-six million, six hundred sixty-one thousand, seven hundred sixty-eight".