2045569294756 has 27 divisors (see below), whose sum is σ = 3876363761571. Its totient is φ = 944091742464.

The previous prime is 2045569294753. The next prime is 2045569294759. The reversal of 2045569294756 is 6574929655402.

The square root of 2045569294756 is 1430234.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2045569294753) and next prime (2045569294759).

It can be written as a sum of positive squares in 4 ways, for example, as 12618028900 + 2032951265856 = 112330^2 + 1425816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2045569294753) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37158580 + ... + 37213588.

Almost surely, 2^{2045569294756} is an apocalyptic number.

2045569294756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2045569294756 is the 1430234-th square number.

It is an amenable number.

2045569294756 is a deficient number, since it is larger than the sum of its proper divisors (1830794466815).

2045569294756 is an frugal number, since it uses more digits than its factorization.

2045569294756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110048 (or 55024 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 64.

Multiplying 2045569294756 by its sum of digits (64), we get a square (130916434864384 = 11441872²).

The spelling of 2045569294756 in words is "two trillion, forty-five billion, five hundred sixty-nine million, two hundred ninety-four thousand, seven hundred fifty-six".