193714342696900 has 81 divisors (see below), whose sum is σ = 426385828064973. Its totient is φ = 76390491592800.

The previous prime is 193714342696837. The next prime is 193714342696943. The reversal of 193714342696900 is 9696243417391.

The square root of 193714342696900 is 13918130.

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

It can be written as a sum of positive squares in only one way, i.e., 69737163370884 + 123977179326016 = 8350878^2 + 11134504^2 .

It is a super-2 number, since 2×193714342696900² (a number of 29 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 26 ways as a sum of consecutive naturals, for example, 9881862499 + ... + 9881882101.

Almost surely, 2^{193714342696900} is an apocalyptic number.

193714342696900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

193714342696900 is the 13918130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193714342696900

193714342696900 is an abundant number, since it is smaller than the sum of its proper divisors (232671485368073).

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

193714342696900 is an frugal number, since it uses more digits than its factorization.

193714342696900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39362 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 64.

The spelling of 193714342696900 in words is "one hundred ninety-three trillion, seven hundred fourteen billion, three hundred forty-two million, six hundred ninety-six thousand, nine hundred".