1145116611072 has 400 divisors, whose sum is σ = 3911344747200. Its totient is φ = 326740303872.

The previous prime is 1145116611059. The next prime is 1145116611179. The reversal of 1145116611072 is 2701166115411.

1145116611072 is a `hidden beast` number, since 1 + 1 + 4 + 511 + 6 + 61 + 10 + 72 = 666.

It is a super-2 number, since 2×1145116611072² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263303554 + ... + 263307902.

It is an arithmetic number, because the mean of its divisors is an integer number (9778361868).

Almost surely, 2^{1145116611072} is an apocalyptic number.

1145116611072 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 1145116611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955672373600).

1145116611072 is an abundant number, since it is smaller than the sum of its proper divisors (2766228136128).

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

1145116611072 is an frugal number, since it uses more digits than its factorization.

1145116611072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 1145116611072 in words is "one trillion, one hundred forty-five billion, one hundred sixteen million, six hundred eleven thousand, seventy-two".