1145017905120 has 336 divisors, whose sum is σ = 4074081846912. Its totient is φ = 303961973760.

The previous prime is 1145017905113. The next prime is 1145017905137. The reversal of 1145017905120 is 215097105411.

1145017905120 is a `hidden beast` number, since 1 + 1 + 4 + 50 + 1 + 7 + 90 + 512 + 0 = 666.

It is a super-2 number, since 2×1145017905120² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25988710 + ... + 26032730.

It is an arithmetic number, because the mean of its divisors is an integer number (12125243592).

Almost surely, 2^{1145017905120} is an apocalyptic number.

1145017905120 is a gapful number since it is divisible by the number (10) 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 1145017905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037040923456).

1145017905120 is an abundant number, since it is smaller than the sum of its proper divisors (2929063941792).

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

1145017905120 is an equidigital number, since it uses as much as digits as its factorization.

1145017905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44277 (or 44254 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 1145017905120 in words is "one trillion, one hundred forty-five billion, seventeen million, nine hundred five thousand, one hundred twenty".