1564235454144 has 224 divisors, whose sum is σ = 4571275502592. Its totient is φ = 468121600000.

The previous prime is 1564235454137. The next prime is 1564235454161. The reversal of 1564235454144 is 4414545324651.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1564235454093 and 1564235454102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85528969 + ... + 85547255.

Almost surely, 2^{1564235454144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1564235454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285637751296).

1564235454144 is an abundant number, since it is smaller than the sum of its proper divisors (3007040048448).

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

1564235454144 is a wasteful number, since it uses less digits than its factorization.

1564235454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18815 (or 18805 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 48.

The spelling of 1564235454144 in words is "one trillion, five hundred sixty-four billion, two hundred thirty-five million, four hundred fifty-four thousand, one hundred forty-four".