1246933416960 has 1056 divisors, whose sum is σ = 5443747126272. Its totient is φ = 256361103360.

The previous prime is 1246933416797. The next prime is 1246933416961. The reversal of 1246933416960 is 696143396421.

It is a happy number.

1246933416960 is a `hidden beast` number, since 1 + 246 + 9 + 334 + 1 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 1246933416897 and 1246933416906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1246933416961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344169709 + ... + 344173331.

Almost surely, 2^{1246933416960} is an apocalyptic number.

1246933416960 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 1246933416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721873563136).

1246933416960 is an abundant number, since it is smaller than the sum of its proper divisors (4196813709312).

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

1246933416960 is a wasteful number, since it uses less digits than its factorization.

1246933416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 1246933416960 in words is "one trillion, two hundred forty-six billion, nine hundred thirty-three million, four hundred sixteen thousand, nine hundred sixty".