1874076122961 has 243 divisors, whose sum is σ = 3442783479291. Its totient is φ = 979349470848.

The previous prime is 1874076122953. The next prime is 1874076123011. The reversal of 1874076122961 is 1692216704781.

The square root of 1874076122961 is 1368969.

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

1874076122961 is a `hidden beast` number, since 1 + 8 + 7 + 407 + 6 + 1 + 229 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1063816902225 + 810259220736 = 1031415^2 + 900144^2 .

It is not a de Polignac number, because 1874076122961 - 2³ = 1874076122953 is a prime.

It is a super-2 number, since 2×1874076122961² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1874076122898 and 1874076122907.

It is not an unprimeable number, because it can be changed into a prime (1874076122761) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 25672275621 + ... + 25672275693.

Almost surely, 2^{1874076122961} is an apocalyptic number.

1874076122961 is the 1368969-th square number.

1874076122961 is the 684485-th centered octagonal number.

It is an amenable number.

1874076122961 is a deficient number, since it is larger than the sum of its proper divisors (1568707356330).

1874076122961 is an equidigital number, since it uses as much as digits as its factorization.

1874076122961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1874076122961 in words is "one trillion, eight hundred seventy-four billion, seventy-six million, one hundred twenty-two thousand, nine hundred sixty-one".