1045564621920 has 1152 divisors, whose sum is σ = 4606249939200. Its totient is φ = 210022170624.

The previous prime is 1045564621919. The next prime is 1045564621939. The reversal of 1045564621920 is 291264655401.

1045564621920 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 564 + 62 + 1 + 9 + 20 = 666.

It is a super-2 number, since 2×1045564621920² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 277409796 + ... + 277413564.

It is an arithmetic number, because the mean of its divisors is an integer number (3998480850).

Almost surely, 2^{1045564621920} is an apocalyptic number.

1045564621920 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 1045564621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303124969600).

1045564621920 is an abundant number, since it is smaller than the sum of its proper divisors (3560685317280).

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

1045564621920 is a wasteful number, since it uses less digits than its factorization.

1045564621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1045564621920 in words is "one trillion, forty-five billion, five hundred sixty-four million, six hundred twenty-one thousand, nine hundred twenty".