1457645561472 has 128 divisors (see below), whose sum is σ = 3912554041920. Its totient is φ = 480782336000.

The previous prime is 1457645561467. The next prime is 1457645561473. The reversal of 1457645561472 is 2741655467541.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1457645561473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70227448 + ... + 70248200.

Almost surely, 2^{1457645561472} is an apocalyptic number.

1457645561472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457645561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956277020960).

1457645561472 is an abundant number, since it is smaller than the sum of its proper divisors (2454908480448).

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

1457645561472 is a wasteful number, since it uses less digits than its factorization.

1457645561472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22682 (or 22670 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 57.

The spelling of 1457645561472 in words is "one trillion, four hundred fifty-seven billion, six hundred forty-five million, five hundred sixty-one thousand, four hundred seventy-two".