2145738344160 has 192 divisors, whose sum is σ = 6811613512704. Its totient is φ = 567753216000.

The previous prime is 2145738344153. The next prime is 2145738344231. The reversal of 2145738344160 is 614438375412.

It is a super-2 number, since 2×2145738344160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167747365 + ... + 167760155.

It is an arithmetic number, because the mean of its divisors is an integer number (35477153712).

Almost surely, 2^{2145738344160} is an apocalyptic number.

2145738344160 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 2145738344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405806756352).

2145738344160 is an abundant number, since it is smaller than the sum of its proper divisors (4665875168544).

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

2145738344160 is a wasteful number, since it uses less digits than its factorization.

2145738344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15497 (or 15489 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2145738344160 in words is "two trillion, one hundred forty-five billion, seven hundred thirty-eight million, three hundred forty-four thousand, one hundred sixty".