2145545265600 has 1008 divisors, whose sum is σ = 8638894218240. Its totient is φ = 500336640000.

The previous prime is 2145545265593. The next prime is 2145545265607. The reversal of 2145545265600 is 65625455412.

2145545265600 is a `hidden beast` number, since 2 + 1 + 45 + 5 + 45 + 2 + 6 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2145545265593) and next prime (2145545265607).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145545265607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 878960380 + ... + 878962820.

Almost surely, 2^{2145545265600} is an apocalyptic number.

2145545265600 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 2145545265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319447109120).

2145545265600 is an abundant number, since it is smaller than the sum of its proper divisors (6493348952640).

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

2145545265600 is a wasteful number, since it uses less digits than its factorization.

2145545265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 2145545265600 in words is "two trillion, one hundred forty-five billion, five hundred forty-five million, two hundred sixty-five thousand, six hundred".