14295953088100 has 36 divisors (see below), whose sum is σ = 31022419508388. Its totient is φ = 5718344128000.

The previous prime is 14295953088097. The next prime is 14295953088101. The reversal of 14295953088100 is 188035959241.

It can be written as a sum of positive squares in 6 ways, for example, as 369442721124 + 13926510366976 = 607818^2 + 3731824^2 .

It is a super-2 number, since 2×14295953088100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14295953088101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19149840 + ... + 19882360.

It is an arithmetic number, because the mean of its divisors is an integer number (861733875233).

Almost surely, 2^{14295953088100} is an apocalyptic number.

14295953088100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14295953088100 is an abundant number, since it is smaller than the sum of its proper divisors (16726466420288).

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

14295953088100 is a wasteful number, since it uses less digits than its factorization.

14295953088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927696 (or 927689 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 14295953088100 in words is "fourteen trillion, two hundred ninety-five billion, nine hundred fifty-three million, eighty-eight thousand, one hundred".