1461034669257 has 24 divisors (see below), whose sum is σ = 2115313824000. Its totient is φ = 971748283968.

The previous prime is 1461034669217. The next prime is 1461034669291. The reversal of 1461034669257 is 7529664301641.

It is a happy number.

1461034669257 is a `hidden beast` number, since 1 + 46 + 1 + 0 + 3 + 466 + 92 + 57 = 666.

It is not a de Polignac number, because 1461034669257 - 2¹⁴ = 1461034652873 is a prime.

It is a super-2 number, since 2×1461034669257² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1461034669217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26345244 + ... + 26400642.

It is an arithmetic number, because the mean of its divisors is an integer number (88138076000).

Almost surely, 2^{1461034669257} is an apocalyptic number.

It is an amenable number.

1461034669257 is a deficient number, since it is larger than the sum of its proper divisors (654279154743).

1461034669257 is a wasteful number, since it uses less digits than its factorization.

1461034669257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62197 (or 62194 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1461034669257 in words is "one trillion, four hundred sixty-one billion, thirty-four million, six hundred sixty-nine thousand, two hundred fifty-seven".