2045143633104 has 180 divisors, whose sum is σ = 6761131322400. Its totient is φ = 572068074240.

The previous prime is 2045143633081. The next prime is 2045143633121. The reversal of 2045143633104 is 4013363415402.

2045143633104 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 1 + 4 + 3 + 633 + 10 + 4 = 666.

It is a super-2 number, since 2×2045143633104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3552204 + ... + 4087595.

It is an arithmetic number, because the mean of its divisors is an integer number (37561840680).

Almost surely, 2^{2045143633104} is an apocalyptic number.

2045143633104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2045143633104 is an abundant number, since it is smaller than the sum of its proper divisors (4715987689296).

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

2045143633104 is a wasteful number, since it uses less digits than its factorization.

2045143633104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639850 (or 7639828 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2045143633104 in words is "two trillion, forty-five billion, one hundred forty-three million, six hundred thirty-three thousand, one hundred four".