1293094202449 has 45 divisors (see below), whose sum is σ = 1578524061723. Its totient is φ = 1059125893056.

The previous prime is 1293094202447. The next prime is 1293094202489. The reversal of 1293094202449 is 9442024903921.

It is a happy number.

The square root of 1293094202449 is 1137143.

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

It can be written as a sum of positive squares in only one way, i.e., 396891180049 + 896203022400 = 629993^2 + 946680^2 .

It is not a de Polignac number, because 1293094202449 - 2¹ = 1293094202447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1293094202441) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1281559657 + ... + 1281560665.

Almost surely, 2^{1293094202449} is an apocalyptic number.

1293094202449 is the 1137143-rd square number.

1293094202449 is the 568572-nd centered octagonal number.

It is an amenable number.

1293094202449 is a deficient number, since it is larger than the sum of its proper divisors (285429859274).

1293094202449 is an frugal number, since it uses more digits than its factorization.

1293094202449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 1293094202449 by its sum of digits (49), we get a square (63361615920001 = 7960001²).

1293094202449 divided by its sum of digits (49) gives a square (26389677601 = 162449²).

The spelling of 1293094202449 in words is "one trillion, two hundred ninety-three billion, ninety-four million, two hundred two thousand, four hundred forty-nine".