2045465645652 has 480 divisors, whose sum is σ = 6337135284480. Its totient is φ = 567172730880.

The previous prime is 2045465645623. The next prime is 2045465645687. The reversal of 2045465645652 is 2565465645402.

2045465645652 is a `hidden beast` number, since 2 + 0 + 4 + 546 + 5 + 6 + 45 + 6 + 52 = 666.

It is a super-3 number, since 3×2045465645652³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4200134553 + ... + 4200135039.

It is an arithmetic number, because the mean of its divisors is an integer number (13202365176).

Almost surely, 2^{2045465645652} is an apocalyptic number.

2045465645652 is a gapful number since it is divisible by the number (22) 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 2045465645652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168567642240).

2045465645652 is an abundant number, since it is smaller than the sum of its proper divisors (4291669638828).

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

2045465645652 is a wasteful number, since it uses less digits than its factorization.

2045465645652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 2045465645652 in words is "two trillion, forty-five billion, four hundred sixty-five million, six hundred forty-five thousand, six hundred fifty-two".