202144492892160 has 2496 divisors, whose sum is σ = 913442018291712. Its totient is φ = 41738418782208.

The previous prime is 202144492892149. The next prime is 202144492892183. The reversal of 202144492892160 is 61298294441202.

202144492892160 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 4 + 4 + 492 + 8 + 92 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×202144492892160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 202144492892097 and 202144492892106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21285084532 + ... + 21285094028.

It is an arithmetic number, because the mean of its divisors is an integer number (365962347072).

Almost surely, 2^{202144492892160} is an apocalyptic number.

202144492892160 is a gapful number since it is divisible by the number (20) 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 202144492892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456721009145856).

202144492892160 is an abundant number, since it is smaller than the sum of its proper divisors (711297525399552).

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

202144492892160 is an equidigital number, since it uses as much as digits as its factorization.

202144492892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9608 (or 9574 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 202144492892160 in words is "two hundred two trillion, one hundred forty-four billion, four hundred ninety-two million, eight hundred ninety-two thousand, one hundred sixty".