1117567904472 has 96 divisors (see below), whose sum is σ = 3045893760000. Its totient is φ = 370169326080.

The previous prime is 1117567904471. The next prime is 1117567904473. The reversal of 1117567904472 is 2744097657111.

1117567904472 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 567 + 9 + 0 + 4 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1117567904471) and next prime (1117567904473).

It is a super-2 number, since 2×1117567904472² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117567904471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16634404 + ... + 16701452.

It is an arithmetic number, because the mean of its divisors is an integer number (31728060000).

Almost surely, 2^{1117567904472} is an apocalyptic number.

1117567904472 is a gapful number since it is divisible by the number (12) 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 1117567904472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522946880000).

1117567904472 is an abundant number, since it is smaller than the sum of its proper divisors (1928325855528).

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

1117567904472 is a wasteful number, since it uses less digits than its factorization.

1117567904472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68521 (or 68514 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 1117567904472 in words is "one trillion, one hundred seventeen billion, five hundred sixty-seven million, nine hundred four thousand, four hundred seventy-two".