1102145245344 has 480 divisors, whose sum is σ = 3813735429504. Its totient is φ = 307832555520.

The previous prime is 1102145245343. The next prime is 1102145245373. The reversal of 1102145245344 is 4435425412011.

1102145245344 is a `hidden beast` number, since 1 + 10 + 21 + 45 + 245 + 344 = 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 = 1102145245299 and 1102145245308.

It is not an unprimeable number, because it can be changed into a prime (1102145245343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 305048082 + ... + 305051694.

Almost surely, 2^{1102145245344} 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 1102145245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906867714752).

1102145245344 is an abundant number, since it is smaller than the sum of its proper divisors (2711590184160).

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

1102145245344 is a wasteful number, since it uses less digits than its factorization.

1102145245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1102145245344 in words is "one trillion, one hundred two billion, one hundred forty-five million, two hundred forty-five thousand, three hundred forty-four".