1106934740352 has 640 divisors, whose sum is σ = 3994809192000. Its totient is φ = 297027108864.

The previous prime is 1106934740321. The next prime is 1106934740393. The reversal of 1106934740352 is 2530474396011.

1106934740352 is a `hidden beast` number, since 1 + 106 + 93 + 4 + 7 + 403 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1106934740298 and 1106934740307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 998137174 + ... + 998138282.

Almost surely, 2^{1106934740352} is an apocalyptic number.

1106934740352 is a gapful number since it is divisible by the number (12) 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 1106934740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997404596000).

1106934740352 is an abundant number, since it is smaller than the sum of its proper divisors (2887874451648).

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

1106934740352 is a wasteful number, since it uses less digits than its factorization.

1106934740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1106934740352 in words is "one trillion, one hundred six billion, nine hundred thirty-four million, seven hundred forty thousand, three hundred fifty-two".