119811807356164 has 729 divisors, whose sum is σ = 295307186781789. Its totient is φ = 42368351477760.

The previous prime is 119811807356089. The next prime is 119811807356183. The reversal of 119811807356164 is 461653708118911.

The square root of 119811807356164 is 10945858.

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

119811807356164 is digitally balanced in base 3, 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 13 ways, for example, as 48206498748100 + 71605308608064 = 6943090^2 + 8461992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1060281480972 + ... + 1060281481084.

Almost surely, 2^{119811807356164} is an apocalyptic number.

119811807356164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

119811807356164 is the 10945858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119811807356164

119811807356164 is an abundant number, since it is smaller than the sum of its proper divisors (175495379425625).

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

119811807356164 is a wasteful number, since it uses less digits than its factorization.

119811807356164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 61.

The spelling of 119811807356164 in words is "one hundred nineteen trillion, eight hundred eleven billion, eight hundred seven million, three hundred fifty-six thousand, one hundred sixty-four".