1145576315520 has 2304 divisors, whose sum is σ = 5171527296000. Its totient is φ = 233320808448.

The previous prime is 1145576315467. The next prime is 1145576315531. The reversal of 1145576315520 is 255136755411.

1145576315520 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 5 + 7 + 631 + 5 + 5 + 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 287 ways as a sum of consecutive naturals, for example, 15692826204 + ... + 15692826276.

It is an arithmetic number, because the mean of its divisors is an integer number (2244586500).

Almost surely, 2^{1145576315520} is an apocalyptic number.

1145576315520 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 1145576315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585763648000).

1145576315520 is an abundant number, since it is smaller than the sum of its proper divisors (4025950980480).

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

1145576315520 is a wasteful number, since it uses less digits than its factorization.

1145576315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 1145576315520 in words is "one trillion, one hundred forty-five billion, five hundred seventy-six million, three hundred fifteen thousand, five hundred twenty".