1145536045920 has 960 divisors, whose sum is σ = 4924213088256. Its totient is φ = 245102837760.

The previous prime is 1145536045909. The next prime is 1145536045931. The reversal of 1145536045920 is 295406355411.

It is a happy number.

1145536045920 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 53 + 6 + 0 + 4 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1145536045909) and next prime (1145536045931).

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 159 ways as a sum of consecutive naturals, for example, 98062480 + ... + 98074160.

Almost surely, 2^{1145536045920} is an apocalyptic number.

1145536045920 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 1145536045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462106544128).

1145536045920 is an abundant number, since it is smaller than the sum of its proper divisors (3778677042336).

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

1145536045920 is a wasteful number, since it uses less digits than its factorization.

1145536045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785 (or 11768 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1145536045920 in words is "one trillion, one hundred forty-five billion, five hundred thirty-six million, forty-five thousand, nine hundred twenty".