2045947536864 has 576 divisors, whose sum is σ = 7412721039360. Its totient is φ = 519861888000.

The previous prime is 2045947536823. The next prime is 2045947536869. The reversal of 2045947536864 is 4686357495402.

2045947536864 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 94 + 7 + 536 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045947536869) 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, 276065319 + ... + 276072729.

It is an arithmetic number, because the mean of its divisors is an integer number (12869307360).

Almost surely, 2^{2045947536864} is an apocalyptic number.

2045947536864 is a gapful number since it is divisible by the number (24) 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 2045947536864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706360519680).

2045947536864 is an abundant number, since it is smaller than the sum of its proper divisors (5366773502496).

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

2045947536864 is a wasteful number, since it uses less digits than its factorization.

2045947536864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 2045947536864 in words is "two trillion, forty-five billion, nine hundred forty-seven million, five hundred thirty-six thousand, eight hundred sixty-four".