14539978414080 has 1536 divisors, whose sum is σ = 60543624960000. Its totient is φ = 3241233874944.

The previous prime is 14539978414037. The next prime is 14539978414081. The reversal of 14539978414080 is 8041487993541.

14539978414080 is a `hidden beast` number, since 1 + 4 + 53 + 9 + 97 + 8 + 414 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×14539978414080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 14539978413999 and 14539978414017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14539978414081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23489464011 + ... + 23489464629.

It is an arithmetic number, because the mean of its divisors is an integer number (39416422500).

Almost surely, 2^{14539978414080} is an apocalyptic number.

14539978414080 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 14539978414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30271812480000).

14539978414080 is an abundant number, since it is smaller than the sum of its proper divisors (46003646545920).

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

14539978414080 is a wasteful number, since it uses less digits than its factorization.

14539978414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 14539978414080 in words is "fourteen trillion, five hundred thirty-nine billion, nine hundred seventy-eight million, four hundred fourteen thousand, eighty".