6966485148100 has 27 divisors (see below), whose sum is σ = 15117330046791. Its totient is φ = 2786583501600.

The previous prime is 6966485148061. The next prime is 6966485148101. The reversal of 6966485148100 is 18415846696.

It is a happy number.

The square root of 6966485148100 is 2639410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1032934799556 + 5933550348544 = 1016334^2 + 2435888^2 .

It is a super-2 number, since 2×6966485148100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6966485148101) 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, 26262130 + ... + 26526070.

Almost surely, 2^{6966485148100} is an apocalyptic number.

6966485148100 is the 2639410-th square number.

It is an amenable number.

6966485148100 is an abundant number, since it is smaller than the sum of its proper divisors (8150844898691).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6966485148100 is an frugal number, since it uses more digits than its factorization.

6966485148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527896 (or 263948 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 6966485148100 in words is "six trillion, nine hundred sixty-six billion, four hundred eighty-five million, one hundred forty-eight thousand, one hundred".