1014838156431 has 192 divisors, whose sum is σ = 1817400499200. Its totient is φ = 537701068800.

The previous prime is 1014838156349. The next prime is 1014838156441. The reversal of 1014838156431 is 1346518384101.

1014838156431 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 8 + 3 + 81 + 564 + 3 + 1 = 666.

It is not a de Polignac number, because 1014838156431 - 2¹⁰ = 1014838155407 is a prime.

It is a super-2 number, since 2×1014838156431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014838156441) 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 191 ways as a sum of consecutive naturals, for example, 447261165 + ... + 447263433.

It is an arithmetic number, because the mean of its divisors is an integer number (9465627600).

Almost surely, 2^{1014838156431} is an apocalyptic number.

1014838156431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1014838156431 is a deficient number, since it is larger than the sum of its proper divisors (802562342769).

1014838156431 is a wasteful number, since it uses less digits than its factorization.

1014838156431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1014838156431 in words is "one trillion, fourteen billion, eight hundred thirty-eight million, one hundred fifty-six thousand, four hundred thirty-one".