1046857996800 has 3360 divisors, whose sum is σ = 5111165435904. Its totient is φ = 206032896000.

The previous prime is 1046857996783. The next prime is 1046857996829. The reversal of 1046857996800 is 86997586401.

1046857996800 is a `hidden beast` number, since 1 + 0 + 468 + 5 + 7 + 9 + 96 + 80 + 0 = 666.

1046857996800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22273574377 + ... + 22273574423.

Almost surely, 2^{1046857996800} is an apocalyptic number.

1046857996800 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 1046857996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555582717952).

1046857996800 is an abundant number, since it is smaller than the sum of its proper divisors (4064307439104).

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

1046857996800 is an equidigital number, since it uses as much as digits as its factorization.

1046857996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 1046857996800 in words is "one trillion, forty-six billion, eight hundred fifty-seven million, nine hundred ninety-six thousand, eight hundred".