9142123680 has 288 divisors, whose sum is σ = 31929206400. Its totient is φ = 2381322240.

The previous prime is 9142123667. The next prime is 9142123687. The reversal of 9142123680 is 863212419.

It is a tau number, because it is divible by the number of its divisors (288).

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 (9142123687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17479899 + ... + 17480421.

It is an arithmetic number, because the mean of its divisors is an integer number (110865300).

Almost surely, 2^9142123680 is an apocalyptic number.

9142123680 is a gapful number since it is divisible by the number (90) 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 9142123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964603200).

9142123680 is an abundant number, since it is smaller than the sum of its proper divisors (22787082720).

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

9142123680 is a wasteful number, since it uses less digits than its factorization.

9142123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9142123680 is about 95614.4533007432. The cubic root of 9142123680 is about 2090.9759168698.

The spelling of 9142123680 in words is "nine billion, one hundred forty-two million, one hundred twenty-three thousand, six hundred eighty".