111956565504 has 320 divisors, whose sum is σ = 359826255360. Its totient is φ = 30218158080.

The previous prime is 111956565493. The next prime is 111956565527. The reversal of 111956565504 is 405565659111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110519302 + ... + 110520314.

It is an arithmetic number, because the mean of its divisors is an integer number (1124457048).

Almost surely, 2^111956565504 is an apocalyptic number.

111956565504 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 111956565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179913127680).

111956565504 is an abundant number, since it is smaller than the sum of its proper divisors (247869689856).

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

111956565504 is a wasteful number, since it uses less digits than its factorization.

111956565504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 48.

The spelling of 111956565504 in words is "one hundred eleven billion, nine hundred fifty-six million, five hundred sixty-five thousand, five hundred four".