1467681461253 has 80 divisors (see below), whose sum is σ = 2527026540544. Its totient is φ = 831535891200.

The previous prime is 1467681461231. The next prime is 1467681461321. The reversal of 1467681461253 is 3521641867641.

1467681461253 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 6 + 8 + 14 + 612 + 5 + 3 = 666.

It is not a de Polignac number, because 1467681461253 - 2¹³ = 1467681453061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1467681461253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1467681461453) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129682551 + ... + 129693867.

Almost surely, 2^{1467681461253} is an apocalyptic number.

It is an amenable number.

1467681461253 is a deficient number, since it is larger than the sum of its proper divisors (1059345079291).

1467681461253 is a wasteful number, since it uses less digits than its factorization.

1467681461253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 13255 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 1467681461253 in words is "one trillion, four hundred sixty-seven billion, six hundred eighty-one million, four hundred sixty-one thousand, two hundred fifty-three".