1492188208896 has 288 divisors, whose sum is σ = 5122093939200. Its totient is φ = 374216048640.

The previous prime is 1492188208873. The next prime is 1492188208897. The reversal of 1492188208896 is 6988028812941.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1492188208897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279890 + ... + 2149998.

It is an arithmetic number, because the mean of its divisors is an integer number (17785048400).

Almost surely, 2^{1492188208896} is an apocalyptic number.

1492188208896 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 1492188208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561046969600).

1492188208896 is an abundant number, since it is smaller than the sum of its proper divisors (3629905730304).

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

1492188208896 is a wasteful number, since it uses less digits than its factorization.

1492188208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870175 (or 870161 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 66.

The spelling of 1492188208896 in words is "one trillion, four hundred ninety-two billion, one hundred eighty-eight million, two hundred eight thousand, eight hundred ninety-six".