1045808472960 has 384 divisors, whose sum is σ = 3660482404800. Its totient is φ = 275106004992.

The previous prime is 1045808472959. The next prime is 1045808473027. The reversal of 1045808472960 is 692748085401.

It is a happy number.

1045808472960 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 80 + 8 + 472 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1045808472960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1045808472897 and 1045808472906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159589044 + ... + 159595596.

Almost surely, 2^{1045808472960} is an apocalyptic number.

1045808472960 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 1045808472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830241202400).

1045808472960 is an abundant number, since it is smaller than the sum of its proper divisors (2614673931840).

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

1045808472960 is a wasteful number, since it uses less digits than its factorization.

1045808472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1045808472960 in words is "one trillion, forty-five billion, eight hundred eight million, four hundred seventy-two thousand, nine hundred sixty".