1406131354665 has 48 divisors (see below), whose sum is σ = 2545321978368. Its totient is φ = 716750229888.

The previous prime is 1406131354651. The next prime is 1406131354679. The reversal of 1406131354665 is 5664531316041.

1406131354665 is a `hidden beast` number, since 1 + 40 + 6 + 1 + 3 + 1 + 3 + 546 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (1406131354651) and next prime (1406131354679).

It is not a de Polignac number, because 1406131354665 - 2¹⁴ = 1406131338281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1406131354665.

It is an unprimeable number.

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, 731152 + ... + 1829438.

It is an arithmetic number, because the mean of its divisors is an integer number (53027541216).

Almost surely, 2^{1406131354665} is an apocalyptic number.

1406131354665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1406131354665 is a deficient number, since it is larger than the sum of its proper divisors (1139190623703).

1406131354665 is a wasteful number, since it uses less digits than its factorization.

1406131354665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099558 (or 1099555 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1406131354665 in words is "one trillion, four hundred six billion, one hundred thirty-one million, three hundred fifty-four thousand, six hundred sixty-five".