1201151626461 has 48 divisors (see below), whose sum is σ = 1769098705920. Its totient is φ = 785218320000.

The previous prime is 1201151626421. The next prime is 1201151626489. The reversal of 1201151626461 is 1646261511021.

1201151626461 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 5 + 1 + 6 + 2 + 646 + 1 = 666.

It is not a de Polignac number, because 1201151626461 - 2⁷ = 1201151626333 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201151626421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39743646 + ... + 39773856.

It is an arithmetic number, because the mean of its divisors is an integer number (36856223040).

Almost surely, 2^{1201151626461} is an apocalyptic number.

It is an amenable number.

1201151626461 is a deficient number, since it is larger than the sum of its proper divisors (567947079459).

1201151626461 is a wasteful number, since it uses less digits than its factorization.

1201151626461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30738 (or 30735 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1201151626461 in words is "one trillion, two hundred one billion, one hundred fifty-one million, six hundred twenty-six thousand, four hundred sixty-one".