13965737029776 has 405 divisors, whose sum is σ = 48316081540779. Its totient is φ = 3754057273344.

The previous prime is 13965737029729. The next prime is 13965737029799. The reversal of 13965737029776 is 67792073756931.

It is a happy number.

The square root of 13965737029776 is 3737076.

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

13965737029776 is a `hidden beast` number, since 1 + 396 + 57 + 37 + 0 + 2 + 97 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8897835589776 + 5067901440000 = 2982924^2 + 2251200^2 .

It is a super-2 number, since 2×13965737029776² (a number of 27 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 5336543220 + ... + 5336545836.

Almost surely, 2^{13965737029776} is an apocalyptic number.

13965737029776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13965737029776 is the 3737076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13965737029776

13965737029776 is an abundant number, since it is smaller than the sum of its proper divisors (34350344511003).

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

13965737029776 is an equidigital number, since it uses as much as digits as its factorization.

13965737029776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 630118440, while the sum is 72.

The spelling of 13965737029776 in words is "thirteen trillion, nine hundred sixty-five billion, seven hundred thirty-seven million, twenty-nine thousand, seven hundred seventy-six".