1108152025344 has 729 divisors, whose sum is σ = 4041383395959. Its totient is φ = 291047178240.

The previous prime is 1108152025327. The next prime is 1108152025391. The reversal of 1108152025344 is 4435202518011.

The square root of 1108152025344 is 1052688.

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

1108152025344 is a `hidden beast` number, since 1 + 1 + 0 + 81 + 520 + 2 + 53 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17614598400 + 1090537426944 = 132720^2 + 1044288^2 .

It is a super-2 number, since 2×1108152025344² (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 a junction number, because it is equal to n+sod(n) for n = 1108152025299 and 1108152025308.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4598141064 + ... + 4598141304.

Almost surely, 2^{1108152025344} is an apocalyptic number.

1108152025344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1108152025344 is the 1052688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1108152025344

1108152025344 is an abundant number, since it is smaller than the sum of its proper divisors (2933231370615).

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

1108152025344 is an equidigital number, since it uses as much as digits as its factorization.

1108152025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 1108152025344 by its sum of digits (36), we get a square (39893472912384 = 6316128²).

1108152025344 divided by its sum of digits (36) gives a square (30782000704 = 175448²).

The spelling of 1108152025344 in words is "one trillion, one hundred eight billion, one hundred fifty-two million, twenty-five thousand, three hundred forty-four".