119361958144 has 243 divisors, whose sum is σ = 285471717237. Its totient is φ = 49750272000.

The previous prime is 119361958127. The next prime is 119361958159. The reversal of 119361958144 is 441859163911.

The square root of 119361958144 is 345488.

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., 17657094400 + 101704863744 = 132880^2 + 318912^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 119361958091 and 119361958100.

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, 790476469 + ... + 790476619.

Almost surely, 2^119361958144 is an apocalyptic number.

119361958144 is the 345488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119361958144

119361958144 is an abundant number, since it is smaller than the sum of its proper divisors (166109759093).

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

119361958144 is an equidigital number, since it uses as much as digits as its factorization.

119361958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its digits is 933120, while the sum is 52.

The spelling of 119361958144 in words is "one hundred nineteen billion, three hundred sixty-one million, nine hundred fifty-eight thousand, one hundred forty-four".