2045086028544 has 144 divisors (see below), whose sum is σ = 5867000665344. Its totient is φ = 628677120000.

The previous prime is 2045086028537. The next prime is 2045086028591. The reversal of 2045086028544 is 4458206805402.

It is a super-3 number, since 3×2045086028544³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2045086028493 and 2045086028502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10798669 + ... + 10986419.

It is an arithmetic number, because the mean of its divisors is an integer number (40743060176).

Almost surely, 2^{2045086028544} is an apocalyptic number.

2045086028544 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 2045086028544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933500332672).

2045086028544 is an abundant number, since it is smaller than the sum of its proper divisors (3821914636800).

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

2045086028544 is a wasteful number, since it uses less digits than its factorization.

2045086028544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188874 (or 188860 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 2045086028544 in words is "two trillion, forty-five billion, eighty-six million, twenty-eight thousand, five hundred forty-four".