14361143952100 has 243 divisors, whose sum is σ = 35046429229371. Its totient is φ = 5104149916800.

The previous prime is 14361143952037. The next prime is 14361143952139. The reversal of 14361143952100 is 125934116341.

The square root of 14361143952100 is 3789610.

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

14361143952100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3248148316644 + 11112995635456 = 1802262^2 + 3333616^2 .

It is a super-2 number, since 2×14361143952100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

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, 19592283334 + ... + 19592284066.

Almost surely, 2^{14361143952100} is an apocalyptic number.

14361143952100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14361143952100 is the 3789610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14361143952100

14361143952100 is an abundant number, since it is smaller than the sum of its proper divisors (20685285277271).

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

14361143952100 is an equidigital number, since it uses as much as digits as its factorization.

14361143952100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 14361143952100 in words is "fourteen trillion, three hundred sixty-one billion, one hundred forty-three million, nine hundred fifty-two thousand, one hundred".