14764775510016 has 585 divisors, whose sum is σ = 51361642655301. Its totient is φ = 4214080733184.

The previous prime is 14764775510003. The next prime is 14764775510059. The reversal of 14764775510016 is 61001557746741.

The square root of 14764775510016 is 3842496.

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

14764775510016 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 4 + 77 + 551 + 0 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6148812902400 + 8615962607616 = 2479680^2 + 2935296^2 .

It is a super-2 number, since 2×14764775510016² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15492943396 + ... + 15492944348.

Almost surely, 2^{14764775510016} is an apocalyptic number.

14764775510016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14764775510016 is the 3842496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14764775510016

14764775510016 is an abundant number, since it is smaller than the sum of its proper divisors (36596867145285).

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

14764775510016 is an frugal number, since it uses more digits than its factorization.

14764775510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 14764775510016 in words is "fourteen trillion, seven hundred sixty-four billion, seven hundred seventy-five million, five hundred ten thousand, sixteen".