49970916518121 has 81 divisors (see below), whose sum is σ = 75323264933007. Its totient is φ = 31922522634240.

The previous prime is 49970916518077. The next prime is 49970916518147. The reversal of 49970916518121 is 12181561907994.

The square root of 49970916518121 is 7069011.

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

49970916518121 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 0 + 91 + 6 + 518 + 1 + 21 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 48414251061225 + 1556665456896 = 6958035^2 + 1247664^2 .

It is not a de Polignac number, because 49970916518121 - 2²⁵ = 49970882963689 is a prime.

It is a super-2 number, since 2×49970916518121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49970916516121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 118695763491 + ... + 118695763911.

Almost surely, 2^{49970916518121} is an apocalyptic number.

49970916518121 is the 7069011-st square number.

49970916518121 is the 3534506-th centered octagonal number.

It is an amenable number.

49970916518121 is a deficient number, since it is larger than the sum of its proper divisors (25352348414886).

49970916518121 is an frugal number, since it uses more digits than its factorization.

49970916518121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 49970916518121 in words is "forty-nine trillion, nine hundred seventy billion, nine hundred sixteen million, five hundred eighteen thousand, one hundred twenty-one".