1045264993578 has 72 divisors (see below), whose sum is σ = 2492555427180. Its totient is φ = 316347482880.

The previous prime is 1045264993571. The next prime is 1045264993603. The reversal of 1045264993578 is 8753994625401.

1045264993578 is a `hidden beast` number, since 1 + 0 + 4 + 52 + 6 + 4 + 9 + 9 + 3 + 578 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2715764769 + 1042549228809 = 52113^2 + 1021053^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1045264993571) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2630923 + ... + 3002046.

It is a 1-persistent number, because it is pandigital, but 2⋅1045264993578 = 2090529987156 is not.

Almost surely, 2^{1045264993578} is an apocalyptic number.

1045264993578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1045264993578 is an abundant number, since it is smaller than the sum of its proper divisors (1447290433602).

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

1045264993578 is a wasteful number, since it uses less digits than its factorization.

1045264993578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633064 (or 5633048 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1045264993578 in words is "one trillion, forty-five billion, two hundred sixty-four million, nine hundred ninety-three thousand, five hundred seventy-eight".