1456557369948 has 72 divisors (see below), whose sum is σ = 3783105806480. Its totient is φ = 472179248640.

The previous prime is 1456557369893. The next prime is 1456557369961. The reversal of 1456557369948 is 8499637556541.

It is a happy number.

1456557369948 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 5 + 573 + 6 + 9 + 9 + 48 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2651508 + ... + 3153348.

Almost surely, 2^{1456557369948} is an apocalyptic number.

1456557369948 is a gapful number since it is divisible by the number (18) 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 1456557369948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891552903240).

1456557369948 is an abundant number, since it is smaller than the sum of its proper divisors (2326548436532).

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

1456557369948 is a wasteful number, since it uses less digits than its factorization.

1456557369948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504067 (or 504062 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 1456557369948 in words is "one trillion, four hundred fifty-six billion, five hundred fifty-seven million, three hundred sixty-nine thousand, nine hundred forty-eight".