1146076646400 has 1848 divisors, whose sum is σ = 5042640456704. Its totient is φ = 252614246400.

The previous prime is 1146076646399. The next prime is 1146076646413. The reversal of 1146076646400 is 46466706411.

1146076646400 is a `hidden beast` number, since 1 + 1 + 460 + 76 + 64 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4049740659 + ... + 4049740941.

Almost surely, 2^{1146076646400} is an apocalyptic number.

1146076646400 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 1146076646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521320228352).

1146076646400 is an abundant number, since it is smaller than the sum of its proper divisors (3896563810304).

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

1146076646400 is an equidigital number, since it uses as much as digits as its factorization.

1146076646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1146076646400 in words is "one trillion, one hundred forty-six billion, seventy-six million, six hundred forty-six thousand, four hundred".