14321735680 has 576 divisors, whose sum is σ = 44770864320. Its totient is φ = 4359979008.

The previous prime is 14321735653. The next prime is 14321735693. The reversal of 14321735680 is 8653712341.

It is a super-2 number, since 2×14321735680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent 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, 196188124 + ... + 196188196.

It is an arithmetic number, because the mean of its divisors is an integer number (77727195).

Almost surely, 2^14321735680 is an apocalyptic number.

14321735680 is a gapful number since it is divisible by the number (10) 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 14321735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385432160).

14321735680 is an abundant number, since it is smaller than the sum of its proper divisors (30449128640).

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

14321735680 is a wasteful number, since it uses less digits than its factorization.

14321735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 14321735680 in words is "fourteen billion, three hundred twenty-one million, seven hundred thirty-five thousand, six hundred eighty".