2345112145200 has 480 divisors, whose sum is σ = 8403066169344. Its totient is φ = 554112000000.

The previous prime is 2345112145153. The next prime is 2345112145213. The reversal of 2345112145200 is 25412115432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1055880090 + ... + 1055882310.

Almost surely, 2^{2345112145200} is an apocalyptic number.

2345112145200 is a gapful number since it is divisible by the number (20) 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 2345112145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201533084672).

2345112145200 is an abundant number, since it is smaller than the sum of its proper divisors (6057954024144).

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

2345112145200 is a wasteful number, since it uses less digits than its factorization.

2345112145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2345112145200 in words is "two trillion, three hundred forty-five billion, one hundred twelve million, one hundred forty-five thousand, two hundred".