1457468489664 has 140 divisors (see below), whose sum is σ = 4713156388248. Its totient is φ = 441657100800.

The previous prime is 1457468489647. The next prime is 1457468489671. The reversal of 1457468489664 is 4669848647541.

1457468489664 is a `hidden beast` number, since 1 + 4 + 574 + 6 + 8 + 48 + 9 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1457468489664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1457468489592 and 1457468489601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12722407 + ... + 12836454.

Almost surely, 2^{1457468489664} is an apocalyptic number.

It is an amenable number.

1457468489664 is an abundant number, since it is smaller than the sum of its proper divisors (3255687898584).

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

1457468489664 is a wasteful number, since it uses less digits than its factorization.

1457468489664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25558896 (or 25558877 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 1457468489664 in words is "one trillion, four hundred fifty-seven billion, four hundred sixty-eight million, four hundred eighty-nine thousand, six hundred sixty-four".