2345738492160 has 864 divisors, whose sum is σ = 9792976677120. Its totient is φ = 507829616640.

The previous prime is 2345738492147. The next prime is 2345738492161. The reversal of 2345738492160 is 612948375432.

2345738492160 is a `hidden beast` number, since 2 + 3 + 4 + 573 + 8 + 4 + 9 + 2 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2345738492097 and 2345738492106.

It is not an unprimeable number, because it can be changed into a prime (2345738492161) 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, 553107640 + ... + 553111880.

It is a 1-persistent number, because it is pandigital, but 2⋅2345738492160 = 4691476984320 is not.

Almost surely, 2^{2345738492160} is an apocalyptic number.

2345738492160 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 2345738492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896488338560).

2345738492160 is an abundant number, since it is smaller than the sum of its proper divisors (7447238184960).

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

2345738492160 is an equidigital number, since it uses as much as digits as its factorization.

2345738492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2345738492160 in words is "two trillion, three hundred forty-five billion, seven hundred thirty-eight million, four hundred ninety-two thousand, one hundred sixty".