1101859250816 has 64 divisors (see below), whose sum is σ = 2330710200000. Its totient is φ = 517077282816.

The previous prime is 1101859250813. The next prime is 1101859250837. The reversal of 1101859250816 is 6180529581011.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1101859250813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75935 + ... + 1486433.

It is an arithmetic number, because the mean of its divisors is an integer number (36417346875).

Almost surely, 2^{1101859250816} is an apocalyptic number.

1101859250816 is a gapful number since it is divisible by the number (16) 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 1101859250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165355100000).

1101859250816 is an abundant number, since it is smaller than the sum of its proper divisors (1228850949184).

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

1101859250816 is a wasteful number, since it uses less digits than its factorization.

1101859250816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410889 (or 1410877 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 47.

The spelling of 1101859250816 in words is "one trillion, one hundred one billion, eight hundred fifty-nine million, two hundred fifty thousand, eight hundred sixteen".