14096101264 has 240 divisors, whose sum is σ = 34653782016. Its totient is φ = 5521824000.

The previous prime is 14096101213. The next prime is 14096101277. The reversal of 14096101264 is 46210169041.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84407709 + ... + 84407875.

Almost surely, 2^14096101264 is an apocalyptic number.

14096101264 is a gapful number since it is divisible by the number (14) 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 14096101264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17326891008).

14096101264 is an abundant number, since it is smaller than the sum of its proper divisors (20557680752).

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

14096101264 is a wasteful number, since it uses less digits than its factorization.

14096101264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 14096101264 in words is "fourteen billion, ninety-six million, one hundred one thousand, two hundred sixty-four".