13801695651456 has 32 divisors (see below), whose sum is σ = 36660754075200. Its totient is φ = 4600565217024.

The previous prime is 13801695651437. The next prime is 13801695651463. The reversal of 13801695651456 is 65415659610831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13801695651456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17970957496 + ... + 17970958263.

It is an arithmetic number, because the mean of its divisors is an integer number (1145648564850).

Almost surely, 2^{13801695651456} is an apocalyptic number.

13801695651456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13801695651456 is an abundant number, since it is smaller than the sum of its proper divisors (22859058423744).

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

13801695651456 is an equidigital number, since it uses as much as digits as its factorization.

13801695651456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35941915776 (or 35941915764 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 60.

The spelling of 13801695651456 in words is "thirteen trillion, eight hundred one billion, six hundred ninety-five million, six hundred fifty-one thousand, four hundred fifty-six".