111552364 has 48 divisors (see below), whose sum is σ = 244290816. Its totient is φ = 43300800.

The previous prime is 111552361. The next prime is 111552367. The reversal of 111552364 is 463255111.

111552364 = T₄₅₁ + T₄₅₂ + ... + T₉₁₂.

It is an interprime number because it is at equal distance from previous prime (111552361) and next prime (111552367).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (111552361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114399 + ... + 115369.

It is an arithmetic number, because the mean of its divisors is an integer number (5089392).

Almost surely, 2^111552364 is an apocalyptic number.

111552364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111552364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122145408).

111552364 is an abundant number, since it is smaller than the sum of its proper divisors (132738452).

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

111552364 is a wasteful number, since it uses less digits than its factorization.

111552364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1364 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 111552364 is about 10561.8352571890. The cubic root of 111552364 is about 481.3854129765.

The spelling of 111552364 in words is "one hundred eleven million, five hundred fifty-two thousand, three hundred sixty-four".