1742914561536 has 480 divisors, whose sum is σ = 5522785804800. Its totient is φ = 542531727360.

The previous prime is 1742914561519. The next prime is 1742914561561. The reversal of 1742914561536 is 6351654192471.

1742914561536 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 9 + 1 + 45 + 61 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 354320485 + ... + 354325403.

It is an arithmetic number, because the mean of its divisors is an integer number (11505803760).

Almost surely, 2^{1742914561536} is an apocalyptic number.

1742914561536 is a gapful number since it is divisible by the number (16) 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 1742914561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761392902400).

1742914561536 is an abundant number, since it is smaller than the sum of its proper divisors (3779871243264).

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

1742914561536 is an equidigital number, since it uses as much as digits as its factorization.

1742914561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5014 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1742914561536 in words is "one trillion, seven hundred forty-two billion, nine hundred fourteen million, five hundred sixty-one thousand, five hundred thirty-six".