196756953432064 has 153 divisors (see below), whose sum is σ = 397171325456847. Its totient is φ = 97471770918912.

The previous prime is 196756953432041. The next prime is 196756953432101. The reversal of 196756953432064 is 460234359657691.

The square root of 196756953432064 is 14027008.

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

It can be written as a sum of positive squares in 4 ways, for example, as 179504742400 + 196577448689664 = 423680^2 + 14020608^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 196756953431984 and 196756953432002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 563773505362 + ... + 563773505710.

Almost surely, 2^{196756953432064} is an apocalyptic number.

196756953432064 is the 14027008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196756953432064

196756953432064 is an abundant number, since it is smaller than the sum of its proper divisors (200414372024783).

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

196756953432064 is an frugal number, since it uses more digits than its factorization.

196756953432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 70.

The spelling of 196756953432064 in words is "one hundred ninety-six trillion, seven hundred fifty-six billion, nine hundred fifty-three million, four hundred thirty-two thousand, sixty-four".