1346546544 has 80 divisors (see below), whose sum is σ = 4014981120. Its totient is φ = 380908800.

The previous prime is 1346546527. The next prime is 1346546561. The reversal of 1346546544 is 4456456431.

It is an interprime number because it is at equal distance from previous prime (1346546527) and next prime (1346546561).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1346546496 and 1346546505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14097 + ... + 53775.

It is an arithmetic number, because the mean of its divisors is an integer number (50187264).

Almost surely, 2^1346546544 is an apocalyptic number.

1346546544 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 1346546544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007490560).

1346546544 is an abundant number, since it is smaller than the sum of its proper divisors (2668434576).

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

1346546544 is a wasteful number, since it uses less digits than its factorization.

1346546544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39798 (or 39792 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 1346546544 is about 36695.3204646042. The cubic root of 1346546544 is about 1104.2662270151.

The spelling of 1346546544 in words is "one billion, three hundred forty-six million, five hundred forty-six thousand, five hundred forty-four".