2045151634644 has 36 divisors (see below), whose sum is σ = 5473788200244. Its totient is φ = 641616198912.

The previous prime is 2045151634607. The next prime is 2045151634651. The reversal of 2045151634644 is 4464361515402.

2045151634644 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 1 + 5 + 1 + 634 + 6 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1100950744644 + 944200890000 = 1049262^2 + 971700^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2045151634644² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2045151634644.

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 11 ways as a sum of consecutive naturals, for example, 1670874907 + ... + 1670876130.

It is an arithmetic number, because the mean of its divisors is an integer number (152049672229).

Almost surely, 2^{2045151634644} is an apocalyptic number.

It is an amenable number.

2045151634644 is an abundant number, since it is smaller than the sum of its proper divisors (3428636565600).

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

2045151634644 is a wasteful number, since it uses less digits than its factorization.

2045151634644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341751064 (or 3341751059 counting only the distinct ones).

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

The spelling of 2045151634644 in words is "two trillion, forty-five billion, one hundred fifty-one million, six hundred thirty-four thousand, six hundred forty-four".