1345687966080 has 384 divisors, whose sum is σ = 4823637829920. Its totient is φ = 358499893248.

The previous prime is 1345687966061. The next prime is 1345687966127. The reversal of 1345687966080 is 806697865431.

1345687966080 is a `hidden beast` number, since 1 + 3 + 4 + 568 + 7 + 9 + 6 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1345687966080² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345687965999 and 1345687966017.

It is a congruent number.

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, 185531734 + ... + 185538986.

Almost surely, 2^{1345687966080} is an apocalyptic number.

1345687966080 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 1345687966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411818914960).

1345687966080 is an abundant number, since it is smaller than the sum of its proper divisors (3477949863840).

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

1345687966080 is an equidigital number, since it uses as much as digits as its factorization.

1345687966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1345687966080 in words is "one trillion, three hundred forty-five billion, six hundred eighty-seven million, nine hundred sixty-six thousand, eighty".