1902200848128 has 540 divisors, whose sum is σ = 6945399559560. Its totient is φ = 514876207104.

The previous prime is 1902200848127. The next prime is 1902200848153. The reversal of 1902200848128 is 8218480022091.

It is a super-2 number, since 2×1902200848128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1902200848127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19255950 + ... + 19354482.

Almost surely, 2^{1902200848128} is an apocalyptic number.

1902200848128 is a gapful number since it is divisible by the number (18) 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 1902200848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472699779780).

1902200848128 is an abundant number, since it is smaller than the sum of its proper divisors (5043198711432).

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

1902200848128 is an equidigital number, since it uses as much as digits as its factorization.

1902200848128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98594 (or 98564 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1902200848128 in words is "one trillion, nine hundred two billion, two hundred million, eight hundred forty-eight thousand, one hundred twenty-eight".