1980146545248 has 192 divisors, whose sum is σ = 5709757132800. Its totient is φ = 598158950400.

The previous prime is 1980146545211. The next prime is 1980146545259. The reversal of 1980146545248 is 8425456410891.

It is a super-2 number, since 2×1980146545248² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9969468 + ... + 10166148.

It is an arithmetic number, because the mean of its divisors is an integer number (29738318400).

Almost surely, 2^{1980146545248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980146545248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854878566400).

1980146545248 is an abundant number, since it is smaller than the sum of its proper divisors (3729610587552).

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

1980146545248 is a wasteful number, since it uses less digits than its factorization.

1980146545248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196941 (or 196933 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 1980146545248 in words is "one trillion, nine hundred eighty billion, one hundred forty-six million, five hundred forty-five thousand, two hundred forty-eight".