1335561566144 has 112 divisors (see below), whose sum is σ = 2907846656736. Its totient is φ = 604858060800.

The previous prime is 1335561566107. The next prime is 1335561566153. The reversal of 1335561566144 is 4416651655331.

It is a happy number.

It is a super-2 number, since 2×1335561566144² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1335561566092 and 1335561566101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21335339 + ... + 21397845.

It is an arithmetic number, because the mean of its divisors is an integer number (25962916578).

Almost surely, 2^{1335561566144} 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 1335561566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453923328368).

1335561566144 is an abundant number, since it is smaller than the sum of its proper divisors (1572285090592).

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

1335561566144 is a wasteful number, since it uses less digits than its factorization.

1335561566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63014 (or 63004 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 50.

The spelling of 1335561566144 in words is "one trillion, three hundred thirty-five billion, five hundred sixty-one million, five hundred sixty-six thousand, one hundred forty-four".