1406116056151 has 8 divisors (see below), whose sum is σ = 1407287222000. Its totient is φ = 1404945233280.

The previous prime is 1406116056143. The next prime is 1406116056187. The reversal of 1406116056151 is 1516506116041.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1406116056151 - 2³ = 1406116056143 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 1406116056151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406116056131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8469820 + ... + 8634238.

It is an arithmetic number, because the mean of its divisors is an integer number (175910902750).

Almost surely, 2^{1406116056151} is an apocalyptic number.

1406116056151 is a deficient number, since it is larger than the sum of its proper divisors (1171165849).

1406116056151 is a wasteful number, since it uses less digits than its factorization.

1406116056151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171489.

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 1406116056151 in words is "one trillion, four hundred six billion, one hundred sixteen million, fifty-six thousand, one hundred fifty-one".