1349535273024 has 224 divisors, whose sum is σ = 3784300434432. Its totient is φ = 423751680000.

The previous prime is 1349535273007. The next prime is 1349535273029. The reversal of 1349535273024 is 4203725359431.

It is a Cunningham number, because it is equal to 1161695²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1349535273029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111516574 + ... + 111528674.

It is an arithmetic number, because the mean of its divisors is an integer number (16894198368).

Almost surely, 2^{1349535273024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349535273024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892150217216).

1349535273024 is an abundant number, since it is smaller than the sum of its proper divisors (2434765161408).

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

1349535273024 is a wasteful number, since it uses less digits than its factorization.

1349535273024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12645 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 1349535273024 in words is "one trillion, three hundred forty-nine billion, five hundred thirty-five million, two hundred seventy-three thousand, twenty-four".