1355411112624 has 120 divisors (see below), whose sum is σ = 3841901297520. Its totient is φ = 446041188864.

The previous prime is 1355411112623. The next prime is 1355411112697. The reversal of 1355411112624 is 4262111145531.

1355411112624 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 4 + 1 + 11 + 12 + 624 = 666.

It is a super-2 number, since 2×1355411112624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1355411112623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4191919 + ... + 4503665.

It is an arithmetic number, because the mean of its divisors is an integer number (32015844146).

Almost surely, 2^{1355411112624} 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 1355411112624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920950648760).

1355411112624 is an abundant number, since it is smaller than the sum of its proper divisors (2486490184896).

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

1355411112624 is a wasteful number, since it uses less digits than its factorization.

1355411112624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312147 (or 312138 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 1355411112624 in words is "one trillion, three hundred fifty-five billion, four hundred eleven million, one hundred twelve thousand, six hundred twenty-four".