1618439187456 has 704 divisors, whose sum is σ = 5987788764160. Its totient is φ = 420426547200.

The previous prime is 1618439187437. The next prime is 1618439187467. The reversal of 1618439187456 is 6547819348161.

1618439187456 is a `hidden beast` number, since 1 + 6 + 18 + 4 + 3 + 91 + 87 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1618439187393 and 1618439187402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168565056 + ... + 168574656.

Almost surely, 2^{1618439187456} is an apocalyptic number.

1618439187456 is a gapful number since it is divisible by the number (16) 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 1618439187456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993894382080).

1618439187456 is an abundant number, since it is smaller than the sum of its proper divisors (4369349576704).

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

1618439187456 is a wasteful number, since it uses less digits than its factorization.

1618439187456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717 (or 9693 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 1618439187456 in words is "one trillion, six hundred eighteen billion, four hundred thirty-nine million, one hundred eighty-seven thousand, four hundred fifty-six".