73142110368 has 72 divisors (see below), whose sum is σ = 208708007508. Its totient is φ = 24297464832.

The previous prime is 73142110367. The next prime is 73142110381. The reversal of 73142110368 is 86301124137.

It is a happy number.

73142110368 is a `hidden beast` number, since 73 + 1 + 421 + 103 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45363888144 + 27778222224 = 212988^2 + 166668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (73142110367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349005 + ... + 517772.

Almost surely, 2^73142110368 is an apocalyptic number.

It is an amenable number.

73142110368 is an abundant number, since it is smaller than the sum of its proper divisors (135565897140).

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

73142110368 is a wasteful number, since it uses less digits than its factorization.

73142110368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867086 (or 867075 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 73142110368 in words is "seventy-three billion, one hundred forty-two million, one hundred ten thousand, three hundred sixty-eight".