1946507480064 has 528 divisors, whose sum is σ = 6841593577728. Its totient is φ = 541096132608.

The previous prime is 1946507480039. The next prime is 1946507480149. The reversal of 1946507480064 is 4600847056491.

1946507480064 is a `hidden beast` number, since 1 + 94 + 6 + 507 + 48 + 0 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64432387 + ... + 64462589.

Almost surely, 2^{1946507480064} is an apocalyptic number.

1946507480064 is a gapful number since it is divisible by the number (14) 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 1946507480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420796788864).

1946507480064 is an abundant number, since it is smaller than the sum of its proper divisors (4895086097664).

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

1946507480064 is an equidigital number, since it uses as much as digits as its factorization.

1946507480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30282 (or 30252 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1946507480064 in words is "one trillion, nine hundred forty-six billion, five hundred seven million, four hundred eighty thousand, sixty-four".