1046153044800 has 504 divisors, whose sum is σ = 3942158792832. Its totient is φ = 262219776000.

The previous prime is 1046153044799. The next prime is 1046153044813. The reversal of 1046153044800 is 84403516401.

1046153044800 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 530 + 44 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223010455 + ... + 223015145.

Almost surely, 2^{1046153044800} is an apocalyptic number.

1046153044800 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 1046153044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971079396416).

1046153044800 is an abundant number, since it is smaller than the sum of its proper divisors (2896005748032).

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

1046153044800 is a wasteful number, since it uses less digits than its factorization.

1046153044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1046153044800 in words is "one trillion, forty-six billion, one hundred fifty-three million, forty-four thousand, eight hundred".