9450142580736 has 1920 divisors, whose sum is σ = 34949229772800. Its totient is φ = 2484338688000.

The previous prime is 9450142580651. The next prime is 9450142580771. The reversal of 9450142580736 is 6370852410549.

It is a happy number.

9450142580736 is a `hidden beast` number, since 9 + 4 + 50 + 1 + 4 + 2 + 580 + 7 + 3 + 6 = 666.

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

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, 119622057945 + ... + 119622058023.

It is an arithmetic number, because the mean of its divisors is an integer number (18202723840).

It is a 1-persistent number, because it is pandigital, but 2⋅9450142580736 = 18900285161472 is not.

Almost surely, 2^{9450142580736} is an apocalyptic number.

9450142580736 is a gapful number since it is divisible by the number (96) 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 9450142580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474614886400).

9450142580736 is an abundant number, since it is smaller than the sum of its proper divisors (25499087192064).

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

9450142580736 is a wasteful number, since it uses less digits than its factorization.

9450142580736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 9450142580736 in words is "nine trillion, four hundred fifty billion, one hundred forty-two million, five hundred eighty thousand, seven hundred thirty-six".