1027153849464 has 48 divisors (see below), whose sum is σ = 2871612918720. Its totient is φ = 331339950720.

The previous prime is 1027153849459. The next prime is 1027153849541. The reversal of 1027153849464 is 4649483517201.

1027153849464 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 1 + 538 + 49 + 4 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1027153849464.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 230094957 + ... + 230099420.

It is an arithmetic number, because the mean of its divisors is an integer number (59825269140).

It is a 1-persistent number, because it is pandigital, but 2⋅1027153849464 = 2054307698928 is not.

Almost surely, 2^{1027153849464} is an apocalyptic number.

It is an amenable number.

1027153849464 is an abundant number, since it is smaller than the sum of its proper divisors (1844459069256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1027153849464 is a wasteful number, since it uses less digits than its factorization.

1027153849464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460194420 (or 460194413 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1027153849464 in words is "one trillion, twenty-seven billion, one hundred fifty-three million, eight hundred forty-nine thousand, four hundred sixty-four".