1362045411144 has 192 divisors, whose sum is σ = 4138442642880. Its totient is φ = 401104896000.

The previous prime is 1362045411131. The next prime is 1362045411179. The reversal of 1362045411144 is 4411145402631.

1362045411144 is a `hidden beast` number, since 1 + 3 + 62 + 0 + 4 + 541 + 11 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1362045411099 and 1362045411108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8263699 + ... + 8426909.

It is an arithmetic number, because the mean of its divisors is an integer number (21554388765).

Almost surely, 2^{1362045411144} 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 1362045411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069221321440).

1362045411144 is an abundant number, since it is smaller than the sum of its proper divisors (2776397231736).

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

1362045411144 is a wasteful number, since it uses less digits than its factorization.

1362045411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163532 (or 163525 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1362045411144 in words is "one trillion, three hundred sixty-two billion, forty-five million, four hundred eleven thousand, one hundred forty-four".