14506408977984 has 1323 divisors, whose sum is σ = 55427072806161. Its totient is φ = 3751444730880.

The previous prime is 14506408977901. The next prime is 14506408977997. The reversal of 14506408977984 is 48977980460541.

The square root of 14506408977984 is 3808728.

It is a perfect power (a square), and thus also a powerful number.

14506408977984 is a `hidden beast` number, since 1 + 4 + 50 + 6 + 408 + 97 + 7 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13510564651584 + 995844326400 = 3675672^2 + 997920^2 .

It is a tau number, because it is divible by the number of its divisors (1323).

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 63346763982 + ... + 63346764210.

Almost surely, 2^{14506408977984} is an apocalyptic number.

14506408977984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14506408977984 is the 3808728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14506408977984

14506408977984 is an abundant number, since it is smaller than the sum of its proper divisors (40920663828177).

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

14506408977984 is an frugal number, since it uses more digits than its factorization.

14506408977984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 14506408977984 in words is "fourteen trillion, five hundred six billion, four hundred eight million, nine hundred seventy-seven thousand, nine hundred eighty-four".