202261564104 has 256 divisors, whose sum is σ = 555247042560. Its totient is φ = 61205760000.

The previous prime is 202261564079. The next prime is 202261564117. The reversal of 202261564104 is 401465162202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336541404 + ... + 336542004.

It is an arithmetic number, because the mean of its divisors is an integer number (2168933760).

Almost surely, 2^202261564104 is an apocalyptic number.

202261564104 is a gapful number since it is divisible by the number (24) 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 202261564104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277623521280).

202261564104 is an abundant number, since it is smaller than the sum of its proper divisors (352985478456).

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

202261564104 is a wasteful number, since it uses less digits than its factorization.

202261564104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 202261564104 in words is "two hundred two billion, two hundred sixty-one million, five hundred sixty-four thousand, one hundred four".