1045085428431 has 24 divisors (see below), whose sum is σ = 1647181667664. Its totient is φ = 633238805760.

The previous prime is 1045085428381. The next prime is 1045085428469. The reversal of 1045085428431 is 1348245805401.

1045085428431 is a `hidden beast` number, since 1 + 0 + 450 + 85 + 42 + 84 + 3 + 1 = 666.

It is not a de Polignac number, because 1045085428431 - 2¹⁸ = 1045085166287 is a prime.

It is a super-2 number, since 2×1045085428431² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (1045085428481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787656 + ... + 1646381.

It is an arithmetic number, because the mean of its divisors is an integer number (68632569486).

Almost surely, 2^{1045085428431} is an apocalyptic number.

1045085428431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1045085428431 is a deficient number, since it is larger than the sum of its proper divisors (602096239233).

1045085428431 is a wasteful number, since it uses less digits than its factorization.

1045085428431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438391 (or 2438388 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1045085428431 in words is "one trillion, forty-five billion, eighty-five million, four hundred twenty-eight thousand, four hundred thirty-one".