242257545042912 has 768 divisors, whose sum is σ = 847289382912000. Its totient is φ = 67265062502400.

The previous prime is 242257545042889. The next prime is 242257545042967. The reversal of 242257545042912 is 219240545752242.

242257545042912 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 5 + 7 + 545 + 0 + 4 + 2 + 91 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9462802912 + ... + 9462828512.

It is an arithmetic number, because the mean of its divisors is an integer number (1103241384000).

Almost surely, 2^{242257545042912} 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 242257545042912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423644691456000).

242257545042912 is an abundant number, since it is smaller than the sum of its proper divisors (605031837869088).

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

242257545042912 is a wasteful number, since it uses less digits than its factorization.

242257545042912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26541 (or 26513 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 242257545042912 in words is "two hundred forty-two trillion, two hundred fifty-seven billion, five hundred forty-five million, forty-two thousand, nine hundred twelve".