1117528936416 has 480 divisors, whose sum is σ = 3437897379840. Its totient is φ = 357264400896.

The previous prime is 1117528936409. The next prime is 1117528936429. The reversal of 1117528936416 is 6146398257111.

1117528936416 is a `hidden beast` number, since 1 + 1 + 17 + 528 + 93 + 6 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1841068785 + ... + 1841069391.

It is an arithmetic number, because the mean of its divisors is an integer number (7162286208).

Almost surely, 2^{1117528936416} is an apocalyptic number.

1117528936416 is a gapful number since it is divisible by the number (16) 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 1117528936416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718948689920).

1117528936416 is an abundant number, since it is smaller than the sum of its proper divisors (2320368443424).

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

1117528936416 is an frugal number, since it uses more digits than its factorization.

1117528936416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 728 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 1117528936416 in words is "one trillion, one hundred seventeen billion, five hundred twenty-eight million, nine hundred thirty-six thousand, four hundred sixteen".