67749131838100 has 36 divisors (see below), whose sum is σ = 155663593509564. Its totient is φ = 25505555514880.

The previous prime is 67749131838079. The next prime is 67749131838103. The reversal of 67749131838100 is 183813194776.

It can be written as a sum of positive squares in 6 ways, for example, as 1433321361796 + 66315810476304 = 1197214^2 + 8143452^2 .

It is a super-2 number, since 2×67749131838100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67749131838103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19926213547 + ... + 19926216946.

It is an arithmetic number, because the mean of its divisors is an integer number (4323988708599).

Almost surely, 2^{67749131838100} is an apocalyptic number.

It is an amenable number.

67749131838100 is an abundant number, since it is smaller than the sum of its proper divisors (87914461671464).

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

67749131838100 is a wasteful number, since it uses less digits than its factorization.

67749131838100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39852430524 (or 39852430517 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 67749131838100 in words is "sixty-seven trillion, seven hundred forty-nine billion, one hundred thirty-one million, eight hundred thirty-eight thousand, one hundred".