2045148345360 has 240 divisors, whose sum is σ = 7072665320448. Its totient is φ = 529283942400.

The previous prime is 2045148345353. The next prime is 2045148345367. The reversal of 2045148345360 is 635438415402.

2045148345360 is a `hidden beast` number, since 2 + 0 + 4 + 514 + 83 + 4 + 53 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2045148345353) and next prime (2045148345367).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2045148345367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5456959 + ... + 5819681.

Almost surely, 2^{2045148345360} is an apocalyptic number.

2045148345360 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 2045148345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536332660224).

2045148345360 is an abundant number, since it is smaller than the sum of its proper divisors (5027516975088).

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

2045148345360 is a wasteful number, since it uses less digits than its factorization.

2045148345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362974 (or 362965 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2045148345360 in words is "two trillion, forty-five billion, one hundred forty-eight million, three hundred forty-five thousand, three hundred sixty".