1355264511312 has 80 divisors (see below), whose sum is σ = 3596006715840. Its totient is φ = 439510726656.

The previous prime is 1355264511277. The next prime is 1355264511313. The reversal of 1355264511312 is 2131154625531.

It is a super-2 number, since 2×1355264511312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355264511313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32574139 + ... + 32615717.

It is an arithmetic number, because the mean of its divisors is an integer number (44950083948).

Almost surely, 2^{1355264511312} is an apocalyptic number.

1355264511312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1355264511312 is an abundant number, since it is smaller than the sum of its proper divisors (2240742204528).

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

1355264511312 is a wasteful number, since it uses less digits than its factorization.

1355264511312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59980 (or 59974 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The spelling of 1355264511312 in words is "one trillion, three hundred fifty-five billion, two hundred sixty-four million, five hundred eleven thousand, three hundred twelve".