1145418563520 has 3136 divisors, whose sum is σ = 5618607316992. Its totient is φ = 216782438400.

The previous prime is 1145418563519. The next prime is 1145418563587. The reversal of 1145418563520 is 253658145411.

1145418563520 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 1 + 8 + 5 + 635 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 36948985905 + ... + 36948985935.

Almost surely, 2^{1145418563520} is an apocalyptic number.

1145418563520 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 1145418563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809303658496).

1145418563520 is an abundant number, since it is smaller than the sum of its proper divisors (4473188753472).

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

1145418563520 is an equidigital number, since it uses as much as digits as its factorization.

1145418563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1145418563520 in words is "one trillion, one hundred forty-five billion, four hundred eighteen million, five hundred sixty-three thousand, five hundred twenty".