14945874620544 has 1280 divisors, whose sum is σ = 54028339200000. Its totient is φ = 4012284616704.

The previous prime is 14945874620519. The next prime is 14945874620669. The reversal of 14945874620544 is 44502647854941.

It is a happy number.

14945874620544 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 5 + 87 + 4 + 6 + 2 + 0 + 544 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9970562707 + ... + 9970564205.

It is an arithmetic number, because the mean of its divisors is an integer number (42209640000).

Almost surely, 2^{14945874620544} is an apocalyptic number.

14945874620544 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 14945874620544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27014169600000).

14945874620544 is an abundant number, since it is smaller than the sum of its proper divisors (39082464579456).

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

14945874620544 is a wasteful number, since it uses less digits than its factorization.

14945874620544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 14945874620544 in words is "fourteen trillion, nine hundred forty-five billion, eight hundred seventy-four million, six hundred twenty thousand, five hundred forty-four".