1095082734564 has 216 divisors, whose sum is σ = 3533195385720. Its totient is φ = 283363411968.

The previous prime is 1095082734547. The next prime is 1095082734611. The reversal of 1095082734564 is 4654372805901.

It is a happy number.

1095082734564 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 0 + 8 + 2 + 73 + 4 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94622681664 + 1000460052900 = 307608^2 + 1000230^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1095082734564.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764892 + ... + 1665900.

It is an arithmetic number, because the mean of its divisors is an integer number (16357386045).

It is a 1-persistent number, because it is pandigital, but 2⋅1095082734564 = 2190165469128 is not.

Almost surely, 2^{1095082734564} is an apocalyptic number.

1095082734564 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 1095082734564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766597692860).

1095082734564 is an abundant number, since it is smaller than the sum of its proper divisors (2438112651156).

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

1095082734564 is a wasteful number, since it uses less digits than its factorization.

1095082734564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901099 (or 901087 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1095082734564 in words is "one trillion, ninety-five billion, eighty-two million, seven hundred thirty-four thousand, five hundred sixty-four".