1623728353536 has 135 divisors (see below), whose sum is σ = 4842211354981. Its totient is φ = 541181620224.

The previous prime is 1623728353531. The next prime is 1623728353553. The reversal of 1623728353536 is 6353538273261.

It is a happy number.

The square root of 1623728353536 is 1274256.

It is a perfect power (a square), and thus also a powerful number.

1623728353536 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 7 + 283 + 5 + 353 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3301191936 + 1620427161600 = 57456^2 + 1272960^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1623728353531) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 183488440 + ... + 183497288.

Almost surely, 2^{1623728353536} is an apocalyptic number.

1623728353536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1623728353536 is the 1274256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1623728353536

1623728353536 is an abundant number, since it is smaller than the sum of its proper divisors (3218483001445).

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

1623728353536 is an frugal number, since it uses more digits than its factorization.

1623728353536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17726 (or 8854 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 1623728353536 in words is "one trillion, six hundred twenty-three billion, seven hundred twenty-eight million, three hundred fifty-three thousand, five hundred thirty-six".