111257661324890 has 32 divisors (see below), whose sum is σ = 201749969480976. Its totient is φ = 44173641807360.

The previous prime is 111257661324857. The next prime is 111257661324913. The reversal of 111257661324890 is 98423166752111.

It can be written as a sum of positive squares in 8 ways, for example, as 65261499814681 + 45996161510209 = 8078459^2 + 6782047^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51395291 + ... + 53516270.

It is a 2-persistent number, because it is pandigital, and so is 2⋅111257661324890 = 222515322649780, but 3⋅111257661324890 = 333772983974670 is not.

Almost surely, 2^{111257661324890} is an apocalyptic number.

111257661324890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111257661324890 is a deficient number, since it is larger than the sum of its proper divisors (90492308156086).

111257661324890 is a wasteful number, since it uses less digits than its factorization.

111257661324890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104912354.

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 111257661324890 in words is "one hundred eleven trillion, two hundred fifty-seven billion, six hundred sixty-one million, three hundred twenty-four thousand, eight hundred ninety".