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1125348110016 = 263131731671132
BaseRepresentation
bin10000011000000011111…
…110010110111011000000
310222120201110000011201020
4100120003332112323000
5121414203104010031
62220551111305440
7144206114051634
oct20300376267300
93876643004636
101125348110016
113a4291741249
1216212497b280
1382173485640
143c677b88dc4
151e415ed7096
hex10603f96ec0

1125348110016 has 672 divisors, whose sum is σ = 3588724758528. Its totient is φ = 307923517440.

The previous prime is 1125348109993. The next prime is 1125348110017. The reversal of 1125348110016 is 6100118435211.

It is not an unprimeable number, because it can be changed into a prime (1125348110017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9958832776 + ... + 9958832888.

It is an arithmetic number, because the mean of its divisors is an integer number (5340364224).

Almost surely, 21125348110016 is an apocalyptic number.

1125348110016 is a gapful number since it is divisible by the number (16) 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 1125348110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794362379264).

1125348110016 is an abundant number, since it is smaller than the sum of its proper divisors (2463376648512).

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

1125348110016 is a wasteful number, since it uses less digits than its factorization.

1125348110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 1125348110016 in words is "one trillion, one hundred twenty-five billion, three hundred forty-eight million, one hundred ten thousand, sixteen".