1354661782544 has 80 divisors (see below), whose sum is σ = 3018762715392. Its totient is φ = 576866072064.

The previous prime is 1354661782493. The next prime is 1354661782547. The reversal of 1354661782544 is 4452871664531.

It is a super-2 number, since 2×1354661782544² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1354661782544.

It is not an unprimeable number, because it can be changed into a prime (1354661782547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33558437 + ... + 33598779.

Almost surely, 2^{1354661782544} is an apocalyptic number.

1354661782544 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 1354661782544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509381357696).

1354661782544 is an abundant number, since it is smaller than the sum of its proper divisors (1664100932848).

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

1354661782544 is a wasteful number, since it uses less digits than its factorization.

1354661782544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42264 (or 42258 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 56.

The spelling of 1354661782544 in words is "one trillion, three hundred fifty-four billion, six hundred sixty-one million, seven hundred eighty-two thousand, five hundred forty-four".