1457616441764 has 24 divisors (see below), whose sum is σ = 2918088212928. Its totient is φ = 624080904480.

The previous prime is 1457616441733. The next prime is 1457616441797. The reversal of 1457616441764 is 4671446167541.

It is an unprimeable number.

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, 25464914 + ... + 25522089.

It is an arithmetic number, because the mean of its divisors is an integer number (121587008872).

Almost surely, 2^{1457616441764} is an apocalyptic number.

1457616441764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1457616441764 is an abundant number, since it is smaller than the sum of its proper divisors (1460471771164).

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

1457616441764 is a wasteful number, since it uses less digits than its factorization.

1457616441764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50988035 (or 50988033 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 56.

The spelling of 1457616441764 in words is "one trillion, four hundred fifty-seven billion, six hundred sixteen million, four hundred forty-one thousand, seven hundred sixty-four".