1949734676241 has 243 divisors, whose sum is σ = 3497266162299. Its totient is φ = 1045571155200.

The previous prime is 1949734676233. The next prime is 1949734676257. The reversal of 1949734676241 is 1426764379491.

The square root of 1949734676241 is 1396329.

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

1949734676241 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 73 + 467 + 62 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1517959523025 + 431775153216 = 1232055^2 + 657096^2 .

It is not a de Polignac number, because 1949734676241 - 2³ = 1949734676233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1949734676441) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14883470746 + ... + 14883470876.

Almost surely, 2^{1949734676241} is an apocalyptic number.

1949734676241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1949734676241 is the 1396329-th square number.

1949734676241 is the 698165-th centered octagonal number.

It is an amenable number.

1949734676241 is a deficient number, since it is larger than the sum of its proper divisors (1547531486058).

1949734676241 is a wasteful number, since it uses less digits than its factorization.

1949734676241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 1949734676241 in words is "one trillion, nine hundred forty-nine billion, seven hundred thirty-four million, six hundred seventy-six thousand, two hundred forty-one".