13801148771355 has 36 divisors (see below), whose sum is σ = 26294420093760. Its totient is φ = 6691466068320.

The previous prime is 13801148771341. The next prime is 13801148771381. The reversal of 13801148771355 is 55317784110831.

13801148771355 is a `hidden beast` number, since 1 + 3 + 80 + 1 + 148 + 7 + 71 + 355 = 666.

It is not a de Polignac number, because 13801148771355 - 2⁷ = 13801148771227 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1267317675 + ... + 1267328564.

It is an arithmetic number, because the mean of its divisors is an integer number (730400558160).

Almost surely, 2^{13801148771355} is an apocalyptic number.

13801148771355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13801148771355 is a deficient number, since it is larger than the sum of its proper divisors (12493271322405).

13801148771355 is a wasteful number, since it uses less digits than its factorization.

13801148771355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534646272 (or 2534646258 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 13801148771355 in words is "thirteen trillion, eight hundred one billion, one hundred forty-eight million, seven hundred seventy-one thousand, three hundred fifty-five".