123354785961 has 81 divisors (see below), whose sum is σ = 203390304663. Its totient is φ = 71985846240.

The previous prime is 123354785947. The next prime is 123354786001. The reversal of 123354785961 is 169587453321.

It is a happy number.

The square root of 123354785961 is 351219.

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

123354785961 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 5 + 47 + 8 + 596 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64684257561 + 58670528400 = 254331^2 + 242220^2 .

It is not a de Polignac number, because 123354785961 - 2¹¹ = 123354783913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123354785898 and 123354785907.

It is not an unprimeable number, because it can be changed into a prime (123354785941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 336116400 + ... + 336116766.

Almost surely, 2^123354785961 is an apocalyptic number.

123354785961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123354785961 is the 351219-th square number.

123354785961 is the 175610-th centered octagonal number.

It is an amenable number.

123354785961 is a deficient number, since it is larger than the sum of its proper divisors (80035518702).

123354785961 is an equidigital number, since it uses as much as digits as its factorization.

123354785961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 410 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 123354785961 in words is "one hundred twenty-three billion, three hundred fifty-four million, seven hundred eighty-five thousand, nine hundred sixty-one".