49674740976961 has 9 divisors (see below), whose sum is σ = 52426945520931. Its totient is φ = 47060154060984.

The previous prime is 49674740976953. The next prime is 49674740976997. The reversal of 49674740976961 is 16967904747694.

The square root of 49674740976961 is 7048031.

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., 48344640086961 + 1330100890000 = 6953031^2 + 1153300^2 .

It is not a de Polignac number, because 49674740976961 - 2³ = 49674740976953 is a prime.

It is a super-2 number, since 2×49674740976961² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49674740976901) 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, 133727115 + ... + 134098063.

Almost surely, 2^{49674740976961} is an apocalyptic number.

49674740976961 is the 7048031-st square number.

49674740976961 is the 3524016-th centered octagonal number.

It is an amenable number.

49674740976961 is a deficient number, since it is larger than the sum of its proper divisors (2752204543970).

49674740976961 is an frugal number, since it uses more digits than its factorization.

49674740976961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741936 (or 370968 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 79.

The spelling of 49674740976961 in words is "forty-nine trillion, six hundred seventy-four billion, seven hundred forty million, nine hundred seventy-six thousand, nine hundred sixty-one".