202048425216 has 432 divisors, whose sum is σ = 678020636160. Its totient is φ = 59244134400.

The previous prime is 202048425203. The next prime is 202048425253. The reversal of 202048425216 is 612524840202.

202048425216 is a `hidden beast` number, since 2 + 0 + 204 + 8 + 425 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×202048425216² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25923016 + ... + 25930808.

Almost surely, 2^202048425216 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 202048425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339010318080).

202048425216 is an abundant number, since it is smaller than the sum of its proper divisors (475972210944).

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

202048425216 is a wasteful number, since it uses less digits than its factorization.

202048425216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7871 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

It can be divided in two parts, 202048 and 425216, that added together give a square (627264 = 792²).

The spelling of 202048425216 in words is "two hundred two billion, forty-eight million, four hundred twenty-five thousand, two hundred sixteen".