1106619985152 has 864 divisors, whose sum is σ = 3708061280000. Its totient is φ = 325173657600.

The previous prime is 1106619985073. The next prime is 1106619985201. The reversal of 1106619985152 is 2515899166011.

It is a happy number.

1106619985152 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 619 + 9 + 8 + 5 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5560904349 + ... + 5560904547.

Almost surely, 2^{1106619985152} is an apocalyptic number.

1106619985152 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 1106619985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854030640000).

1106619985152 is an abundant number, since it is smaller than the sum of its proper divisors (2601441294848).

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

1106619985152 is a wasteful number, since it uses less digits than its factorization.

1106619985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 1106619985152 in words is "one trillion, one hundred six billion, six hundred nineteen million, nine hundred eighty-five thousand, one hundred fifty-two".