242013461000160 has 48 divisors (see below), whose sum is σ = 762342402152016. Its totient is φ = 64536922933248.

The previous prime is 242013461000071. The next prime is 242013461000191. The reversal of 242013461000160 is 61000164310242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252097354729 + ... + 252097355688.

It is an arithmetic number, because the mean of its divisors is an integer number (15882133378167).

Almost surely, 2^{242013461000160} is an apocalyptic number.

242013461000160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242013461000160 is an abundant number, since it is smaller than the sum of its proper divisors (520328941151856).

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

242013461000160 is a wasteful number, since it uses less digits than its factorization.

242013461000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504194710435 (or 504194710427 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 242013461000160 in words is "two hundred forty-two trillion, thirteen billion, four hundred sixty-one million, one hundred sixty", and thus it is an aban number.